Memphis took the lead in the 50th minute with an accurate finish from Jocelyn Alonzo before Aubrey Mister doubled the lead in the 74th and Bryana Buttar put the game to bed in the 78th.
The best chance of the half for LSU came three minutes later as midfielder Meghan Johnson rose above the defense on the corner and sent a headed ball on goal that was acrobatically parried away from Moberg.
Goalkeeper Mollee Swift was active in the first half as she made her first save of the match in the 10th minute as she caught a long-ranged effort from a Memphis attacker.
In the 78th minute, Swift picked up her fifth and final save of the afternoon as she dove to her left and parried away a strong shot from Mister.
The Tigers reeled off four top 25 wins this season, the most ever by an LSU team, and it included a win over No.