Cauley-Stein provided 15 points and six rebounds while Harrison netted 14 points for the Wildcats (12-3, 2-0 SEC), who dominated the boards by a 41-28 margin.
Julius Randle hauled down 11 rebounds to go with seven points as Kentucky notched a fourth straight win.
The Commodores (8-6, 0-2) were paced by Damian Jones with 18 points and 11 rebounds.
Kyle Fuller and Dai-Jon Parker each added 17 points.
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