Landry made seven of 10 field goals and eight of 11 free throws. He also had eight rebounds and two blocks for the Boilermakers (7-1), who avenged last year's 80-65 loss to the Ramblers.
Majak Kou led Loyola with 19 points.
It was Purdue's fifth consecutive win in a streak that includes victories over Oklahoma, DePaul and Virginia.
Loyola (6-3) committed 20 turnovers in the game and shot just 37 percent in the second half. The Ramblers entered the game averaging 75 points.
Loyola guard Blake Schilb was averaging 18 points a game, but he was held to eight points on 3-for-13 shooting.