After falling behind 7-3 late in the first quarter, Curtis Keiler drained a long three-bomb for LMS with 21.0 seconds left.
A Whitthorne turnover a couple of ticks later gave the ball back to LMS and Steven Dangerfield drove to the hoop and scored at the buzzer to put the visiting Tigers a lead they would not surrender the remainder of the contest.
At the outset of quarter number two, Darius McKenzie scored on a rebound and put-back for LMS and after a couple of missed shots by Whitthorne, followed by baskets from Malek Sain and Dangerfield to forge ahead 14-7.
Midway through the period, a Luke Wilson bucket for Whitthorne cut the LMS lead to 14-12, before the Tigers went on a 5-0 run, bolstered by Sain three-pointer to go up 19-12.
Whitthorne came back again and trailed by two points at 21-19 on a late basket by DeFelix Loach, but a buzzer beater by Jay Howard gave LMS a 23-19 halftime margin.
Howard scored the first four points of the second half as LMS went up by eight at 27-19.
The LMS margin would remain at eight until Whitthorne sliced the visitors' lead to just two points at 32-30.
Once again, an LMS basket by D'Andre Brown with a few seconds remaining in the quarter made it a 34-30 ballgame, entering the final six minutes of play.
Cedriantis Wilson, who led all scorers in the ballgame with 19 points, netted the first bucket of the fourth quarter to pull his Whitthorne squad back to within one basket of LMS at 34-32.
That would be the last time Whitthorne would be close as the Tigers went on a game clinching 8-0 spurt to go up 40-32 and win going away by ten.
Brown led the Tigers with 10 points, Dangerfield scored nine, Howard ended up with eight, Sain and McKenzie had six points apiece, Keiler finished with five, and Dylan Jones had one basket.