<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:0d961cd6-c7ea-4d76-9e41-0240c7ea9961,g:3cbe19ad-37be-4e76-b818-f30f5bcb8af4-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.wearelegence.com/role/CondensedConsolidatedBalanceSheets" xlink:type="simple" xlink:href="lgn-20250930.xsd#CondensedConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_4d11243d-4830-47c8-90c1-24bc3057ea25" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_AccountsPayableCurrent_4d11243d-4830-47c8-90c1-24bc3057ea25" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_4bdaea91-8472-4e6a-9111-32cbc7cdcc31" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeRelatedLiabilitiesCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_4bdaea91-8472-4e6a-9111-32cbc7cdcc31" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_4a03534a-471e-43e3-b2e4-203a40587525" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_4a03534a-471e-43e3-b2e4-203a40587525" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_f1e14772-4baa-4278-940d-dd9b7760bc77" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_f1e14772-4baa-4278-940d-dd9b7760bc77" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_82b6ade3-6f6b-40f3-b1a1-70f67fba7110" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_82b6ade3-6f6b-40f3-b1a1-70f67fba7110" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent_a7e7ee52-7aa9-4c6b-b1b8-6234b3cbe63d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_045be231-53b5-4ba3-b03f-15a691e8eea3" xlink:to="loc_us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent_a7e7ee52-7aa9-4c6b-b1b8-6234b3cbe63d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest_435e6523-6f2a-40ac-972e-7c9c130af166" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersEquity_4929139c-3027-4df4-9a07-4f317d60ae7b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MembersEquity"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest_435e6523-6f2a-40ac-972e-7c9c130af166" xlink:to="loc_us-gaap_MembersEquity_4929139c-3027-4df4-9a07-4f317d60ae7b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersEquityAttributableToNoncontrollingInterest_4e15be07-67b5-42a1-9480-c1664d70e399" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MembersEquityAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest_435e6523-6f2a-40ac-972e-7c9c130af166" xlink:to="loc_us-gaap_MembersEquityAttributableToNoncontrollingInterest_4e15be07-67b5-42a1-9480-c1664d70e399" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_8939e348-a54a-48be-9bc5-4fd420f9a223" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_cb6f70d3-6cb5-4d66-9efe-62910a139a80" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_8939e348-a54a-48be-9bc5-4fd420f9a223" xlink:to="loc_us-gaap_StockholdersEquity_cb6f70d3-6cb5-4d66-9efe-62910a139a80" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest_61ff207d-d073-4ac5-bd7a-9f18e6d3ccd9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MinorityInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_8939e348-a54a-48be-9bc5-4fd420f9a223" xlink:to="loc_us-gaap_MinorityInterest_61ff207d-d073-4ac5-bd7a-9f18e6d3ccd9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_cf5075f8-103d-4ed5-84e1-6dd201e16a54" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_f79afaa2-8f14-4261-85b5-bf2aca70f701" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cf5075f8-103d-4ed5-84e1-6dd201e16a54" xlink:to="loc_us-gaap_Liabilities_f79afaa2-8f14-4261-85b5-bf2aca70f701" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_de437034-db85-4bce-8f39-84cd471f3a7a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cf5075f8-103d-4ed5-84e1-6dd201e16a54" xlink:to="loc_us-gaap_CommitmentsAndContingencies_de437034-db85-4bce-8f39-84cd471f3a7a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_b6bd996d-53f3-45a1-874d-804edf531c1d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cf5075f8-103d-4ed5-84e1-6dd201e16a54" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_b6bd996d-53f3-45a1-874d-804edf531c1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest_de6e295e-c390-4aab-b903-ec289e754195" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_cf5075f8-103d-4ed5-84e1-6dd201e16a54" xlink:to="loc_us-gaap_LimitedLiabilityCompanyLlcMembersEquityIncludingPortionAttributableToNoncontrollingInterest_de6e295e-c390-4aab-b903-ec289e754195" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_f165afab-4bba-4bb7-abd2-7777fea7e953" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_4849d08d-0360-4467-8321-f64f983f85a7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_f165afab-4bba-4bb7-abd2-7777fea7e953" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_4849d08d-0360-4467-8321-f64f983f85a7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesNetCurrent_4644a958-c847-4d82-9676-4a3e4c98e34d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReceivablesNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_f165afab-4bba-4bb7-abd2-7777fea7e953" xlink:to="loc_us-gaap_ReceivablesNetCurrent_4644a958-c847-4d82-9676-4a3e4c98e34d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNetCurrent_e512ec13-560d-4d8d-bfa0-5c653e01767c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractWithCustomerAssetNetCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_f165afab-4bba-4bb7-abd2-7777fea7e953" xlink:to="loc_us-gaap_ContractWithCustomerAssetNetCurrent_e512ec13-560d-4d8d-bfa0-5c653e01767c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_1a4055f2-7a23-4838-b5a4-b581b18b4a78" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_f165afab-4bba-4bb7-abd2-7777fea7e953" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_1a4055f2-7a23-4838-b5a4-b581b18b4a78" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersCapital_5dabb7d3-ef9e-4f27-aae7-23962031ed22" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MembersCapital"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_MembersCapital_5dabb7d3-ef9e-4f27-aae7-23962031ed22" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_f9e5bebb-cd6b-4007-9367-47dfd270e157" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_PreferredStockValue_f9e5bebb-cd6b-4007-9367-47dfd270e157" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_25d20607-6b18-44f0-a915-7a85089db492" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_CommonStockValue_25d20607-6b18-44f0-a915-7a85089db492" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_26c624ea-106f-40ad-bf0e-b286c4923aa2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_AdditionalPaidInCapital_26c624ea-106f-40ad-bf0e-b286c4923aa2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_d689e2ce-9b73-43a8-9337-8c0dcfd794dd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_d689e2ce-9b73-43a8-9337-8c0dcfd794dd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_829aab3a-eaec-4beb-b53f-a7e1df5ef3d2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3c189b43-35bf-4e0d-9dbb-49284465f51c" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_829aab3a-eaec-4beb-b53f-a7e1df5ef3d2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_3ba17145-eade-42ad-8051-22b645bc0506" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_AssetsCurrent_3ba17145-eade-42ad-8051-22b645bc0506" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_4fe661b2-c124-4be5-a270-42f96091e20b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_4fe661b2-c124-4be5-a270-42f96091e20b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_5b153b99-d187-47d5-872f-e6ff26b9ad0b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_5b153b99-d187-47d5-872f-e6ff26b9ad0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_ce3fa2d0-2160-499e-8799-add718b2aaef" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_Goodwill_ce3fa2d0-2160-499e-8799-add718b2aaef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8f7350e4-5e8a-4034-b0c1-91049533bfbb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsNet_8f7350e4-5e8a-4034-b0c1-91049533bfbb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_92d317ae-cf0a-4505-8352-4afa47ddead3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_1276cf79-3a12-4c61-afcc-108438c95668" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_92d317ae-cf0a-4505-8352-4afa47ddead3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_5a109543-93e6-4467-843c-77576f167f83" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_us-gaap_LiabilitiesCurrent_5a109543-93e6-4467-843c-77576f167f83" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtAndCapitalLeaseObligations_e6e75321-bcba-42ed-8082-597178a4736e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtAndCapitalLeaseObligations"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_us-gaap_LongTermDebtAndCapitalLeaseObligations_e6e75321-bcba-42ed-8082-597178a4736e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_12a0e294-059d-4e57-9983-f05424b3fcee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_12a0e294-059d-4e57-9983-f05424b3fcee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_TaxReceivableAgreementLiability.Noncurrent_ed9bf4c0-5ca8-420b-9011-e755b6c92702" xlink:href="lgn-20250930.xsd#lgn_TaxReceivableAgreementLiability.Noncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_lgn_TaxReceivableAgreementLiability.Noncurrent_ed9bf4c0-5ca8-420b-9011-e755b6c92702" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_be2cbe59-8590-4939-afd1-f8d0182858b8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_be2cbe59-8590-4939-afd1-f8d0182858b8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_c0d99738-541c-44f0-8cce-cacdaf29aee0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_93b52ba3-e138-4ffc-b717-8a14e91ed77c" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_c0d99738-541c-44f0-8cce-cacdaf29aee0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersEquity_ecfca69f-092e-40de-b8e1-4a93545a156f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MembersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersCapital_47aefdb6-42c7-4f85-891e-14b320b84317" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MembersCapital"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MembersEquity_ecfca69f-092e-40de-b8e1-4a93545a156f" xlink:to="loc_us-gaap_MembersCapital_47aefdb6-42c7-4f85-891e-14b320b84317" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_db52c51e-6c44-46c6-ad5a-f5a25c56e205" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MembersEquity_ecfca69f-092e-40de-b8e1-4a93545a156f" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_db52c51e-6c44-46c6-ad5a-f5a25c56e205" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_d209d9b9-7a14-4622-9242-5783d9752bdf" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MembersEquity_ecfca69f-092e-40de-b8e1-4a93545a156f" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_d209d9b9-7a14-4622-9242-5783d9752bdf" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="simple" xlink:href="lgn-20250930.xsd#CondensedConsolidatedStatementsofOperations"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofOperations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_61a0d8de-ac69-4ed0-a9c8-45ff6a3bfbed" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_ac46be17-f8b0-487e-a7f6-55aa4037ae19" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_61a0d8de-ac69-4ed0-a9c8-45ff6a3bfbed" xlink:to="loc_us-gaap_ProfitLoss_ac46be17-f8b0-487e-a7f6-55aa4037ae19" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_36b550fc-5c54-4e7b-a976-3185fc5e7b09" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_61a0d8de-ac69-4ed0-a9c8-45ff6a3bfbed" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_36b550fc-5c54-4e7b-a976-3185fc5e7b09" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_14f24f79-e9b1-47b2-866e-c1fe07d0b2a5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_b90db613-4397-4e90-aa0c-aee54ba6f196" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_14f24f79-e9b1-47b2-866e-c1fe07d0b2a5" xlink:to="loc_us-gaap_OperatingIncomeLoss_b90db613-4397-4e90-aa0c-aee54ba6f196" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_341dca6d-a2d5-41a4-8295-eab053f84c37" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_14f24f79-e9b1-47b2-866e-c1fe07d0b2a5" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_341dca6d-a2d5-41a4-8295-eab053f84c37" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_43573cb5-0996-47b7-b1ef-552e90b8a8a0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfitLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_e48d9ce9-681f-4d1f-be28-a309d13c676f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_43573cb5-0996-47b7-b1ef-552e90b8a8a0" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_e48d9ce9-681f-4d1f-be28-a309d13c676f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_b57d0a88-319e-42e7-a09c-7d9f4b2fd1e0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_43573cb5-0996-47b7-b1ef-552e90b8a8a0" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_b57d0a88-319e-42e7-a09c-7d9f4b2fd1e0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_6ada2c54-19b4-41b8-86d8-e92dc2e42ee5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GrossProfit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_66b92860-2fe8-4b45-8fd9-1abeefefc66c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_6ada2c54-19b4-41b8-86d8-e92dc2e42ee5" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_66b92860-2fe8-4b45-8fd9-1abeefefc66c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_b0f8f9db-68f6-4946-bc4f-d67a6956a2db" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_6ada2c54-19b4-41b8-86d8-e92dc2e42ee5" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_b0f8f9db-68f6-4946-bc4f-d67a6956a2db" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_443747df-5f1c-494e-831f-b25b0203ea34" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:to="loc_us-gaap_InterestExpenseNonoperating_443747df-5f1c-494e-831f-b25b0203ea34" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInterest_d1e1e90a-3ba1-457f-a4be-804fffc70494" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:to="loc_us-gaap_InvestmentIncomeInterest_d1e1e90a-3ba1-457f-a4be-804fffc70494" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_fed98309-b346-4986-9877-18843dc04641" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_fed98309-b346-4986-9877-18843dc04641" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_LineOfCreditFacilityAmendmentFeeAmount_da178c5c-5dad-46d0-a609-ee44fe540307" xlink:href="lgn-20250930.xsd#lgn_LineOfCreditFacilityAmendmentFeeAmount"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:to="loc_lgn_LineOfCreditFacilityAmendmentFeeAmount_da178c5c-5dad-46d0-a609-ee44fe540307" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_272b2131-2dfa-408a-acbf-d23432d33e19" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_3a8e24da-4cf9-4f6e-9efb-3edd73e5547a" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_272b2131-2dfa-408a-acbf-d23432d33e19" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_a4760f83-b26b-4b54-8777-349f505fedd5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GrossProfit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_GrossProfit_a4760f83-b26b-4b54-8777-349f505fedd5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_2650cfd0-bb7d-4632-a8f7-12b5fbe46a78" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_2650cfd0-bb7d-4632-a8f7-12b5fbe46a78" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationAndAmortization_b33877ac-a940-4679-b465-a1771fc07135" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DepreciationAndAmortization"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_DepreciationAndAmortization_b33877ac-a940-4679-b465-a1771fc07135" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_72cc8d24-922c-4b4f-b96f-1a9393e38b34" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_72cc8d24-922c-4b4f-b96f-1a9393e38b34" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_fa5b1196-071c-4572-badd-067006946b99" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnSaleOfPropertyPlantEquipment"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_fa5b1196-071c-4572-badd-067006946b99" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d76f08c3-7697-436f-b6cf-2cfd6321fcab" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_a94cfe9a-f509-4c1e-82f5-ac4da335296d" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d76f08c3-7697-436f-b6cf-2cfd6321fcab" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofComprehensiveLoss" xlink:type="simple" xlink:href="lgn-20250930.xsd#CondensedConsolidatedStatementsofComprehensiveLoss"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofComprehensiveLoss" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_3b96c0b4-9156-4aef-9043-0ad96cdf0900" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_f1a167f4-7dae-4e2d-8c18-63568ac4d7a1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_3b96c0b4-9156-4aef-9043-0ad96cdf0900" xlink:to="loc_us-gaap_ProfitLoss_f1a167f4-7dae-4e2d-8c18-63568ac4d7a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_89ae16ba-40e1-4d53-9b9a-5dbbcf936509" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_3b96c0b4-9156-4aef-9043-0ad96cdf0900" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_89ae16ba-40e1-4d53-9b9a-5dbbcf936509" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_a9f075b2-7555-4687-a476-d66d483f1909" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax_9d36a47a-35e0-4b25-92ea-91128d8caee0" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_a9f075b2-7555-4687-a476-d66d483f1909" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTax_9d36a47a-35e0-4b25-92ea-91128d8caee0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_c24d82fa-9942-4b65-839c-3bc315c3d394" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_baf9e469-8873-49bd-910c-cc00e276c629" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_c24d82fa-9942-4b65-839c-3bc315c3d394" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_baf9e469-8873-49bd-910c-cc00e276c629" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_f39fd4b1-f58b-45d1-90eb-f1c7853d85d7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_c24d82fa-9942-4b65-839c-3bc315c3d394" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_f39fd4b1-f58b-45d1-90eb-f1c7853d85d7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="lgn-20250930.xsd#CondensedConsolidatedStatementsofCashFlows"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_c5511e71-7de7-436e-abb2-ffa75e77d509" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_fe6b6778-9d22-4b36-a30e-dcfdac258662" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_c5511e71-7de7-436e-abb2-ffa75e77d509" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_fe6b6778-9d22-4b36-a30e-dcfdac258662" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_80f5f5e1-c49b-4729-9a5e-9da145e7fce8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_c5511e71-7de7-436e-abb2-ffa75e77d509" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_80f5f5e1-c49b-4729-9a5e-9da145e7fce8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_bfbb2639-ab24-4eea-b5cd-7e5ac0d91572" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_c5511e71-7de7-436e-abb2-ffa75e77d509" xlink:to="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_bfbb2639-ab24-4eea-b5cd-7e5ac0d91572" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_cb10dbad-0e96-405b-83f3-46ac78b3336e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_ProfitLoss_cb10dbad-0e96-405b-83f3-46ac78b3336e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfIntangibleAssets_268de512-c5a3-4e25-a63a-d0387d079981" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AmortizationOfIntangibleAssets"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_AmortizationOfIntangibleAssets_268de512-c5a3-4e25-a63a-d0387d079981" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationNonproduction_a8451968-1f9d-44a1-88d3-541a288514f6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DepreciationNonproduction"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_DepreciationNonproduction_a8451968-1f9d-44a1-88d3-541a288514f6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCostsAndDiscounts_b4155717-4300-47b8-bd63-047bb8157e25" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AmortizationOfFinancingCostsAndDiscounts"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_AmortizationOfFinancingCostsAndDiscounts_b4155717-4300-47b8-bd63-047bb8157e25" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_93e85558-46c9-4459-b651-2d3f015024d8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_ShareBasedCompensation_93e85558-46c9-4459-b651-2d3f015024d8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_c775e1ad-9167-4a8d-9ac2-2b7f4aa44e0f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_c775e1ad-9167-4a8d-9ac2-2b7f4aa44e0f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_3eb39e5c-42df-47b9-8734-6cbe05a3bbff" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_3eb39e5c-42df-47b9-8734-6cbe05a3bbff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_ReturnOnInvestmentInJointVenture_ec3e46cb-1e2f-4420-98d7-39ddd804e5f3" xlink:href="lgn-20250930.xsd#lgn_ReturnOnInvestmentInJointVenture"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_lgn_ReturnOnInvestmentInJointVenture_ec3e46cb-1e2f-4420-98d7-39ddd804e5f3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_0946a69b-6b14-46a7-970b-252b8e2e32a1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_0946a69b-6b14-46a7-970b-252b8e2e32a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_716fdaee-d05a-42ca-89bf-2754f54314bc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_716fdaee-d05a-42ca-89bf-2754f54314bc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncashIncomeExpense_fd98f7b6-664d-4eed-9ddc-52c5f948e08e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherNoncashIncomeExpense"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_OtherNoncashIncomeExpense_fd98f7b6-664d-4eed-9ddc-52c5f948e08e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_26e19ae0-b320-4b4b-9492-0a5b9ccfaacc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_26e19ae0-b320-4b4b-9492-0a5b9ccfaacc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_26ea32da-69b3-4963-9085-901441129cc8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerAsset"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerAsset_26ea32da-69b3-4963-9085-901441129cc8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_37bf0e9f-f7ec-4cce-9114-06cc7de86b23" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:calculationArc order="14" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_37bf0e9f-f7ec-4cce-9114-06cc7de86b23" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableTrade_a81c3299-2489-418b-b352-5af1febc036b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsPayableTrade"/>
    <link:calculationArc order="15" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableTrade_a81c3299-2489-418b-b352-5af1febc036b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities_b6968bac-754d-499a-962a-f9d634682107" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities_b6968bac-754d-499a-962a-f9d634682107" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_ca28a171-9417-46f9-a19e-9517dfe0a624" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:calculationArc order="17" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_ca28a171-9417-46f9-a19e-9517dfe0a624" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_c06c5c48-b905-4c57-9904-2c2a2c3e39bc" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerLiability"/>
    <link:calculationArc order="18" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_c06c5c48-b905-4c57-9904-2c2a2c3e39bc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_fccf15ab-e387-45dc-911e-7391e2caf868" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingLeaseLiability"/>
    <link:calculationArc order="19" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_fccf15ab-e387-45dc-911e-7391e2caf868" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_1d38dbba-2947-48f1-8a8b-92c264ef876d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet"/>
    <link:calculationArc order="20" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d04bd5e8-deda-4e24-a956-8cdc683ec8bb" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet_1d38dbba-2947-48f1-8a8b-92c264ef876d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt_ee6d2dc7-cff0-46dc-9604-5a30aca68941" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfSecuredDebt"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt_ee6d2dc7-cff0-46dc-9604-5a30aca68941" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfSecuredDebt_bab9518d-b19f-4a5d-b72d-8b668acff332" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfSecuredDebt"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_RepaymentsOfSecuredDebt_bab9518d-b19f-4a5d-b72d-8b668acff332" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfNotesPayable_e833b37d-ea19-4b2b-b649-a4b3ae39ca49" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfNotesPayable"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_RepaymentsOfNotesPayable_e833b37d-ea19-4b2b-b649-a4b3ae39ca49" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeasePrincipalPayments_14a46c1c-5f0c-4c89-9ad0-e3a46a9f1275" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeasePrincipalPayments"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_FinanceLeasePrincipalPayments_14a46c1c-5f0c-4c89-9ad0-e3a46a9f1275" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDistributionsToAffiliates_2633c7df-6161-43bd-9bb9-5d0a81662018" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDistributionsToAffiliates"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_PaymentsOfDistributionsToAffiliates_2633c7df-6161-43bd-9bb9-5d0a81662018" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromContributionsFromParent_91fb8798-f23d-4d98-a2d2-4b665c12cabd" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromContributionsFromParent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_ProceedsFromContributionsFromParent_91fb8798-f23d-4d98-a2d2-4b665c12cabd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceInitialPublicOffering_23b0b601-e792-40a5-9cc8-b055ba56f0ed" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceInitialPublicOffering"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_ProceedsFromIssuanceInitialPublicOffering_23b0b601-e792-40a5-9cc8-b055ba56f0ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts_2a6731d1-38e5-4528-864d-80f48312d828" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_PaymentsOfDebtIssuanceCosts_2a6731d1-38e5-4528-864d-80f48312d828" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_d56b53e8-0271-4175-a7d3-7e7c36c9b0b3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_d56b53e8-0271-4175-a7d3-7e7c36c9b0b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfStockIssuanceCosts_8eac8b3c-5b5a-4d76-9e1c-7c66f9d56165" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfStockIssuanceCosts"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8c244ef4-4737-4cb6-8068-3fcd36c5da23" xlink:to="loc_us-gaap_PaymentsOfStockIssuanceCosts_8eac8b3c-5b5a-4d76-9e1c-7c66f9d56165" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_88031013-f619-413a-b5f0-2358bf653f74" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_baf2eaa5-cc0f-41c0-b7b0-1e9af4f36faa" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_88031013-f619-413a-b5f0-2358bf653f74" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_baf2eaa5-cc0f-41c0-b7b0-1e9af4f36faa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f4159077-ace8-43df-83c7-26aa82934134" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_88031013-f619-413a-b5f0-2358bf653f74" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f4159077-ace8-43df-83c7-26aa82934134" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1ff6d33e-7d5f-491d-b012-128b2f41ebca" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_88031013-f619-413a-b5f0-2358bf653f74" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1ff6d33e-7d5f-491d-b012-128b2f41ebca" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/AcquisitionsScheduleofConsiderationTransferredDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#AcquisitionsScheduleofConsiderationTransferredDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/AcquisitionsScheduleofConsiderationTransferredDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1_1e53cadb-12a6-4480-bc5b-b4ca9a40e463" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_121e6608-2cd6-4c57-b4d8-1c4970535935" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_1e53cadb-12a6-4480-bc5b-b4ca9a40e463" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_121e6608-2cd6-4c57-b4d8-1c4970535935" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_8da5fbe8-b255-45c7-97a0-6a058e32230d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_1e53cadb-12a6-4480-bc5b-b4ca9a40e463" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_8da5fbe8-b255-45c7-97a0-6a058e32230d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred_c2ba2de9-fc6d-4903-bc43-86022abee61f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1_1e53cadb-12a6-4480-bc5b-b4ca9a40e463" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred_c2ba2de9-fc6d-4903-bc43-86022abee61f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/AcquisitionsScheduleofAssetandLiabilitiesDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#AcquisitionsScheduleofAssetandLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/AcquisitionsScheduleofAssetandLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_1b201368-c36a-4eeb-9189-ede62b70d031" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_1b201368-c36a-4eeb-9189-ede62b70d031" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedCompensationAndBenefits_a8ac346c-1f4c-4495-9ae1-ebfb735c7e5b" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedCompensationAndBenefits"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedCompensationAndBenefits_a8ac346c-1f4c-4495-9ae1-ebfb735c7e5b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedAndOtherLiabilitiesCurrent_384fb30c-a190-4cab-886a-3dd3f6ab4651" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedAndOtherLiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedLiabilityAccruedAndOtherLiabilitiesCurrent_384fb30c-a190-4cab-886a-3dd3f6ab4651" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedContractLiability_eb20e601-8beb-4acf-8d80-90e6791a2e0a" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedLiabilityAssumedContractLiability"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedContractLiability_eb20e601-8beb-4acf-8d80-90e6791a2e0a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesCurrent_85780b07-242d-4a53-a36e-48c4a7e3ca7e" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesCurrent_85780b07-242d-4a53-a36e-48c4a7e3ca7e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesLongTermDebt_06521f9d-4800-4368-a0d2-b6b744a980d9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesLongTermDebt"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesLongTermDebt_06521f9d-4800-4368-a0d2-b6b744a980d9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesNoncurrent_83643398-3df0-4e40-9ff0-f5e83e592137" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesNoncurrent"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_lgn_BusinessCombinationRecognizedLiabilityAssumedOperatingLeaseLiabilitiesNoncurrent_83643398-3df0-4e40-9ff0-f5e83e592137" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesLongTermDebt_ae934f38-717a-49a1-9ce6-0f1aa2ffabfa" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesLongTermDebt"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesLongTermDebt_ae934f38-717a-49a1-9ce6-0f1aa2ffabfa" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_ac1e234a-93ff-4682-aa40-8643d07610c5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_ac1e234a-93ff-4682-aa40-8643d07610c5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_9e5b2307-4a6b-4a8c-a968-dad4e1e4fe27" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_2e509c9d-ed79-4e57-b4bb-26ce1f703aa6" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_9e5b2307-4a6b-4a8c-a968-dad4e1e4fe27" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_3137e8ed-7878-47a5-afae-f58ba35bc373" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_acb507bb-eddc-4d22-b7bb-4b9f3db5e514" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_3137e8ed-7878-47a5-afae-f58ba35bc373" xlink:to="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_acb507bb-eddc-4d22-b7bb-4b9f3db5e514" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_84e88c83-02f0-4dee-8f77-ec71a4d5d8f8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_3137e8ed-7878-47a5-afae-f58ba35bc373" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_84e88c83-02f0-4dee-8f77-ec71a4d5d8f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_7bcd3269-9aca-4027-992e-2a0e193883e9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_7bcd3269-9aca-4027-992e-2a0e193883e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_4550d0e3-f405-46dc-bc6d-dc57539f063c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_4550d0e3-f405-46dc-bc6d-dc57539f063c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedAssetAcquiredContractAssets_4e344198-4d2b-4cbd-8197-f039a606cd5e" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedAssetAcquiredContractAssets"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_lgn_BusinessCombinationRecognizedAssetAcquiredContractAssets_4e344198-4d2b-4cbd-8197-f039a606cd5e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_44380451-1285-4749-bfc0-bdca21b8e52c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_44380451-1285-4749-bfc0-bdca21b8e52c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_2d5b9673-b88f-4602-9192-921637a2ed4a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_2d5b9673-b88f-4602-9192-921637a2ed4a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_BusinessCombinationRecognizedAssetAcquiredAssetOperatingLeaseRightOfUseAssets_c6516211-1ec6-436b-9f03-bf85eb9158a3" xlink:href="lgn-20250930.xsd#lgn_BusinessCombinationRecognizedAssetAcquiredAssetOperatingLeaseRightOfUseAssets"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_lgn_BusinessCombinationRecognizedAssetAcquiredAssetOperatingLeaseRightOfUseAssets_c6516211-1ec6-436b-9f03-bf85eb9158a3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_8709a09a-1ed0-4aff-afe0-b45ac4d1f76f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_Goodwill_8709a09a-1ed0-4aff-afe0-b45ac4d1f76f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_96ca7ff8-4ddf-4868-8305-d49ce53d2731" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_96ca7ff8-4ddf-4868-8305-d49ce53d2731" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_3a104a6c-6678-4cdc-958b-1c6778e0f93e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_lgn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAcquiredIncludingGoodwill_7cddc061-3b9b-4655-921d-fa7cfe667466" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_3a104a6c-6678-4cdc-958b-1c6778e0f93e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/GoodwillandIntangibleAssetsScheduleofIntangibleAssetsDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#GoodwillandIntangibleAssetsScheduleofIntangibleAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/GoodwillandIntangibleAssetsScheduleofIntangibleAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_0540115d-5739-44ee-86a1-7ee58bb98f9f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsGross_e926ce25-ece3-4e02-88e4-e49734c6653a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_0540115d-5739-44ee-86a1-7ee58bb98f9f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsGross_e926ce25-ece3-4e02-88e4-e49734c6653a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_4b8a7b5b-cdc3-4536-95c4-95bf698af925" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_0540115d-5739-44ee-86a1-7ee58bb98f9f" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_4b8a7b5b-cdc3-4536-95c4-95bf698af925" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/GoodwillandIntangibleAssetsScheduleofFutureAmortizationofIntangibleAssetsDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#GoodwillandIntangibleAssetsScheduleofFutureAmortizationofIntangibleAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/GoodwillandIntangibleAssetsScheduleofFutureAmortizationofIntangibleAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_0b48b8c0-f9df-42a3-ab1f-db2f9f6a44b5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_0b48b8c0-f9df-42a3-ab1f-db2f9f6a44b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_e18a6379-ec07-40ea-8075-8ebea87a51d9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_e18a6379-ec07-40ea-8075-8ebea87a51d9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_17f01a2e-3350-41a7-90d1-eae1ac75a4d3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_17f01a2e-3350-41a7-90d1-eae1ac75a4d3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_81f8b843-27c1-4729-999b-f05134dc7d20" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_81f8b843-27c1-4729-999b-f05134dc7d20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_197b9acc-d125-4dd3-9b36-1e932bcc76c1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_197b9acc-d125-4dd3-9b36-1e932bcc76c1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_lgn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour_18345bed-e6ed-4cbf-b7d1-3ba39ee33c94" xlink:href="lgn-20250930.xsd#lgn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_f1ab68e3-55fb-4646-b9f4-30a29a54af39" xlink:to="loc_lgn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour_18345bed-e6ed-4cbf-b7d1-3ba39ee33c94" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/VariableInterestEntitiesandEquityMethodInvestmentsScheduleofCarryingAmountsandClassificationofthePCsAssetsandLiabilitiesDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#VariableInterestEntitiesandEquityMethodInvestmentsScheduleofCarryingAmountsandClassificationofthePCsAssetsandLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/VariableInterestEntitiesandEquityMethodInvestmentsScheduleofCarryingAmountsandClassificationofthePCsAssetsandLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_0910b3ad-c904-46ad-a767-443d714b766f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Cash_8b2407bf-0bf3-4226-891d-3625e477ac5d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Cash"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_0910b3ad-c904-46ad-a767-443d714b766f" xlink:to="loc_us-gaap_Cash_8b2407bf-0bf3-4226-891d-3625e477ac5d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_0d94f2e1-46d0-459e-ab56-cca41912a9e9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_0910b3ad-c904-46ad-a767-443d714b766f" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_0d94f2e1-46d0-459e-ab56-cca41912a9e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerAssetNetCurrent_f913808b-70dd-48a8-9f19-015b473d3e1d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractWithCustomerAssetNetCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_0910b3ad-c904-46ad-a767-443d714b766f" xlink:to="loc_us-gaap_ContractWithCustomerAssetNetCurrent_f913808b-70dd-48a8-9f19-015b473d3e1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_663ca313-fb79-446a-b9c9-01ac1ab6a682" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_71031fe7-64d1-4dd0-95f6-203c2d549c17" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_663ca313-fb79-446a-b9c9-01ac1ab6a682" xlink:to="loc_us-gaap_AssetsCurrent_71031fe7-64d1-4dd0-95f6-203c2d549c17" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsNoncurrent_b0d00ae5-07f9-4649-a474-ec5c3f25f853" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_663ca313-fb79-446a-b9c9-01ac1ab6a682" xlink:to="loc_us-gaap_AssetsNoncurrent_b0d00ae5-07f9-4649-a474-ec5c3f25f853" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_5983e6fe-c7cb-4e38-a62b-c6bb57caec5a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_6fb566dc-a569-46d2-99ba-063beb0a0d0c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_5983e6fe-c7cb-4e38-a62b-c6bb57caec5a" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_6fb566dc-a569-46d2-99ba-063beb0a0d0c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiability_1d14dd96-f45f-4aed-8de0-6884e35d53ef" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractWithCustomerLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_5983e6fe-c7cb-4e38-a62b-c6bb57caec5a" xlink:to="loc_us-gaap_ContractWithCustomerLiability_1d14dd96-f45f-4aed-8de0-6884e35d53ef" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/DebtScheduleofDebtObligationsDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#DebtScheduleofDebtObligationsDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/DebtScheduleofDebtObligationsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtAndCapitalLeaseObligationsIncludingCurrentMaturities_9d09f68d-4450-44e4-8123-69afa8d42f8c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtAndCapitalLeaseObligationsIncludingCurrentMaturities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_4909b172-e5e1-44b2-b7a7-df7b59c36567" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebtAndCapitalLeaseObligationsIncludingCurrentMaturities_9d09f68d-4450-44e4-8123-69afa8d42f8c" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_4909b172-e5e1-44b2-b7a7-df7b59c36567" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityCurrent_45cbb29c-01f1-4019-a404-78b58eb86a5c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebtAndCapitalLeaseObligationsIncludingCurrentMaturities_9d09f68d-4450-44e4-8123-69afa8d42f8c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityCurrent_45cbb29c-01f1-4019-a404-78b58eb86a5c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/OtherFinancialInformationScheduleofAccountsReceivableNetDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#OtherFinancialInformationScheduleofAccountsReceivableNetDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/OtherFinancialInformationScheduleofAccountsReceivableNetDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesNetCurrent_9a70f224-e187-4726-b82a-f1e568339af1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReceivablesNetCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesLongTermContractsOrPrograms_98f4a3f3-b92c-4f21-979b-8aadaa529b1d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReceivablesLongTermContractsOrPrograms"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ReceivablesNetCurrent_9a70f224-e187-4726-b82a-f1e568339af1" xlink:to="loc_us-gaap_ReceivablesLongTermContractsOrPrograms_98f4a3f3-b92c-4f21-979b-8aadaa529b1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivablesNetCurrent_db6b5561-0134-45ec-a96d-bfa64bde7c51" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherReceivablesNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ReceivablesNetCurrent_9a70f224-e187-4726-b82a-f1e568339af1" xlink:to="loc_us-gaap_OtherReceivablesNetCurrent_db6b5561-0134-45ec-a96d-bfa64bde7c51" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.wearelegence.com/role/OtherFinancialInformationScheduleofPrepaidExpensesAndOtherCurrentAssetsDetails" xlink:type="simple" xlink:href="lgn-20250930.xsd#OtherFinancialInformationScheduleofPrepaidExpensesAndOtherCurrentAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.wearelegence.com/role/OtherFinancialInformationScheduleofPrepaidExpensesAndOtherCurrentAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_4c6e8f7e-c570-430b-8b69-c1f909ba920a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseCurrent_54479020-3a9a-4323-9019-9cd36fc89565" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_4c6e8f7e-c570-430b-8b69-c1f909ba920a" xlink:to="loc_us-gaap_PrepaidExpenseCurrent_54479020-3a9a-4323-9019-9cd36fc89565" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_cc8d2a06-ecbf-4546-b2b3-447afc039c7c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InventoryNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_4c6e8f7e-c570-430b-8b69-c1f909ba920a" xlink:to="loc_us-gaap_InventoryNet_cc8d2a06-ecbf-4546-b2b3-447afc039c7c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredCostsCurrent_dc4cb84d-2df1-49fa-af69-2b469287b35c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredCostsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_4c6e8f7e-c570-430b-8b69-c1f909ba920a" xlink:to="loc_us-gaap_DeferredCostsCurrent_dc4cb84d-2df1-49fa-af69-2b469287b35c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsCurrent_6135b361-186c-4046-b84a-7433901e1cda" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssetsCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_4c6e8f7e-c570-430b-8b69-c1f909ba920a" xlink:to="loc_us-gaap_DerivativeAssetsCurrent_6135b361-186c-4046-b84a-7433901e1cda" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
