3.25.2 html 43 24 1 true 39 0 false 5 false false R1.htm 030000 - Disclosure - Form N-CSR Cover Sheet http://xbrl.sec.gov/oef/role/NcsrCover Form N-CSR Cover Cover 1 false false R2.htm 030001 - Disclosure - Shareholder Report Sheet http://xbrl.sec.gov/oef/role/ShareholderReport Shareholder Report Notes 2 false false R3.htm 060010 - Document - Shareholder Report, Holdings (Details) LMA5300_Franklin U._1 {Elements} Sheet http://tsr/role/ShareholderReportHoldingsDetails_1 Shareholder Report, Holdings (Details) LMA5300_Franklin U._1 Details 3 false false R4.htm 060020 - Document - Shareholder Report, Holdings (Details) LMA5300_Franklin U._2 {Elements} Sheet http://tsr/role/ShareholderReportHoldingsDetails_2 Shareholder Report, Holdings (Details) LMA5300_Franklin U._2 Details 4 false false R5.htm 060030 - Document - Shareholder Report, Holdings (Details) LMA5300_Franklin U._3 {Elements} Sheet http://tsr/role/ShareholderReportHoldingsDetails_3 Shareholder Report, Holdings (Details) LMA5300_Franklin U._3 Details 5 false false All Reports Book All Reports lmpit-efp16601_ncsrs.htm tsr-20250531.xsd tsr-20250531_def.xml tsr-20250531_lab.xml tsr-20250531_pre.xml img1988_202405161833219.jpg img448_202405131411777.jpg img450_202407221332340.jpg img981fd4ea1.gif imga0c8743f2.gif imge14db7b13.jpg ts4150img003.jpg ts4151img003.jpg ts4152img003.jpg http://fasb.org/us-gaap/2024 http://xbrl.sec.gov/dei/2024 http://xbrl.sec.gov/oef/2024 true false