Ricky Harris scored 20 points, all in the final 11:12, and Anthony Gurley also had 20 for the Minutemen (10-17, 5-9), who have dropped four of their last five. Chris Lowe added 15 points and nine assists and David Gibbs had 10 points.
La Salle led 46-29 at halftime and extended the margin to 26 points twice in the second half. A three-point play by Guillandeaux gave the Explorers a 72-46 lead with 11:21 remaining.
Massachusetts used runs of 11-2 and 11-3 to cut the margin to 84-75 on a layup by Lowe with 2:23 left. But the Explorers hit 13 of 14 free throws in the final 2:16 to seal the win, with Green going 6-for-6 and Partin 5-for-6.