The Tigers won their 39th straight home game, equaling a school record, and improved this season's mark to 12-0.
Siena (7-5) was paced by Kenny Hasbrouck's 18 points.
After falling behind by three, Memphis went on a 22-6 run en route to a 49-24 halftime lead. The Tigers boosted their lead to 40 with 9:26 remaining.
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