Delon Wright helped out with 12 points, eight boards and six assists as the Utes (14-4, 3-3 Pac-12) notched a second straight win.
Kenneth Ogbe and Brandon Taylor also netted 12 apiece.
UCLA (14-4, 3-2) got 28 points, seven rebounds and seven assists from Kyle Anderson.
Zach Lavine added 15 points for the Bruins.
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