Haws shot just 4 of 12 from the floor but made all 14 free-throw attempts for the Cougars (21-10, 10-6 West Coast), who never trailed after 8:18 remained in the first half.
Haws' last two free throws made the score 73-67, and Anthony Ireland hit a 3-pointer with two seconds remaining for the Lions (8-22, 1-15). Ireland scored 24 points and Ashley Hamilton 18 for Loyola Marymount.
While the game was in progress, BYU clinched the No. 3 seed in the WCC tournament in Las Vegas when Santa Clara lost at Saint Mary's. Santa Clara is the No. 4 seed; both schools earn a bye to the quarterfinals.
Loyola Marymount entered the game already locked into the No. 9 seed and faces No. 8 Portland on Wednesday.
After a season that saw his shooting numbers slip, should Nigel Hayes return for his senior year at Wisconsin or take the gamble to put him name in this year's NBA draft?
Isaiah Taylor talks about his decision to declare for the NBA draft and what he will miss most about Texas.
Chattanooga women's basketball coach Jim Foster has received a one-year contract extension, the same day the school gave the men's coach a two-year extension.