Ronald Dupree shot 9-of-12 to lead five Tigers in double figures with 18 points. Antonio Hudson had 12 points, forward Jaime Lloreda had 11 and Collis Temple and Thomas Davis scored 10 each. Guards Torris Bright and Tony Gipson each added eight points.
It was the first time LSU shot better than 60 percent in just over two years, while TAM-CC (2-5) managed just 36.8 percent and committed 20 turnovers.
Brian Evans led all scorers with 20 points for the Islanders.
Evans provided the first two baskets of the game, but LSU came back with eight unanswered points to take a lead that would be safe the rest of the night.
Already ahead 13-8 with 13:45 remaining in the first half, the Tigers posted an 18-0 run that effectively took the Islanders out of the game for good.
The largest lead for LSU in the first half was 40-13 when Dupree provided a layup at the 5:34 mark, and the Tigers enjoyed a comfortable 46-23 at halftime on 65.5 percent shooting (19 of 29).
A 21-3 LSU run at the start of the second half included seven straight points from Hudson, putting the Tigers ahead 67-26 with 13:22 left to play.
With a 72-33 advantage, LSU head coach John Brady elected to use his reserves with over eleven minutes left to play. Walk-ons Brian Green and Paul Wolfert were also used in the late stages, with Wolfert recording his first career field goal.