Cornell (1-1) tied the game at 66 when Shonn Miller hit a pair of free throws with 3:34 remaining, but Laster hit a 3-pointer 24 seconds later which sparked an 8-2 run over the next 3 minutes and sealed it for Loyola (1-1).
Miller finished with 20 points, nine rebounds, two steals and two blocks for Cornell, which made just 2 of 11 field goals in the final 5 1/2 minutes. Galal Cancer scored 19 and Robert Hatter added 17 in the loss.
Cam Gregory grabbed 10 rebounds for Loyola, which out-rebounded Cornell 43-34 while pulling down 19 offensive rebounds.
Loyola made 8 of 19 from 3-point range while the Big Red converted just 3 of 19.