Erving Walker chipped in 14 points and six assists for the Gators, who opened the second half with a 23-6 run that turned a close game into a rout.
Alex Tyus started the spurt with a pair of shots in the paint, Boynton followed with a 3-pointer and Macklin added an emphatic dunk on a fast break that prompted the Tigers (9-8, 0-3) to call timeout.
It didn't slow Florida (12-5, 1-2) down. Boynton hit two more 3s, and the Gators cruised the rest of the way.
Tasmin Mitchell led LSU with 17 points, 15 of them in the first half, but the Tigers didn't have anyone else in double figures.