<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.25.2</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>73</ContextCount>
  <ElementCount>24</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>66</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>5</UnitCount>
  <MyReports>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>030000 - Disclosure - Form N-CSR Cover</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/oef/role/NcsrCover</Role>
      <ShortName>Form N-CSR Cover</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>030001 - Disclosure - Shareholder Report</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/oef/role/ShareholderReport</Role>
      <ShortName>Shareholder Report</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>060010 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_1 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_1</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_1</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>060020 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_2 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_2</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_2</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>060030 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_3 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_3</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_3</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>060040 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_4 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_4</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_4</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>060050 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_5 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_5</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_5</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="lmpit-efp16598_ncsrs.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>060060 - Document - Shareholder Report, Holdings (Details) LMA1700_ClearBridge_6 {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://tsr/role/ShareholderReportHoldingsDetails_6</Role>
      <ShortName>Shareholder Report, Holdings (Details) LMA1700_ClearBridge_6</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="N-CSRS" isDefinitelyNotFs="true" isNcsr="true" isOEF="true" isRRorOEF="true" isUsgaap="true" original="lmpit-efp16598_ncsrs.htm">lmpit-efp16598_ncsrs.htm</File>
    <File>tsr-20250531.xsd</File>
    <File>tsr-20250531_def.xml</File>
    <File>tsr-20250531_lab.xml</File>
    <File>tsr-20250531_pre.xml</File>
  </InputFiles>
  <SupplementalFiles>
    <File>img1988_202405161833219.jpg</File>
    <File>img1ce3c5682.gif</File>
    <File>img450_202407221332340.jpg</File>
    <File>img5250_202406031209949.jpg</File>
    <File>img707de8871.gif</File>
    <File>imgd86343f93.jpg</File>
    <File>ts4153img003.jpg</File>
    <File>ts4154img003.jpg</File>
    <File>ts4155img003.jpg</File>
    <File>ts4156img003.jpg</File>
    <File>ts4157img003.jpg</File>
    <File>ts4158img003.jpg</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="12">http://fasb.org/us-gaap/2024</BaseTaxonomy>
    <BaseTaxonomy items="18">http://xbrl.sec.gov/dei/2024</BaseTaxonomy>
    <BaseTaxonomy items="144">http://xbrl.sec.gov/oef/2024</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>false</HasCalculationLinkbase>
</FilingSummary>
