Smith was one of five Louisville (9-1) players in double figures in the Cardinals' fourth consecutive victory.
Mangok Mathiang scored 13 points in the win. Wayne Blackshear and Tim Henderson both scored 12 with Henderson going 4-for-6 from 3-point range.
Louisville led 31-28 at halftime and shot 50.8 percent from the field for the game. Western Kentucky shot 36.4 percent.
T.J. Price led Western Kentucky (5-4) with 22 points. Chris Harrison-Docks scored 10 off the bench for the Hilltoppers, who have lost two of their last three games.
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