LSU posted a single run in the first inning and put the game away with three runs in the second, third and fourth innings.
The offensive punch from the Tigers provided a sizeable comfort zone for pitcher Brian Wilson, who got his first start of the 2002 season and enjoyed the longest outing of his career.
Wilson (W, 5-2) threw seven innings and gave up seven hits. The only run Georgia scored against him was unearned and came when LSU was already ahead 12-0.
Although the LSU defense committed three errors, Wilson benefited from a school-record five double plays.
"Wilson pitched ok," said LSU head coach Smoke Laval. "We were just playing things really well. He pitched according to our plan. It's different when you have a bigger lead."
LSU (23-13, 7-6 SEC) meets Georgia (18-13, 8-6) again on Sunday at 1 p.m. and will go for its first SEC sweep since taking three games from Alabama last season.
The 16 hits for LSU marked the tenth time in a row the Tigers have posted double-digits hits and matched the season-high they first achieved at Houston on Feb. 23. Only one LSU starter, first baseman Blake Gill, failed to record a hit in the game.
LSU leadoff hitter J.C. Holt had four of those hits in his five at-bats, including a single in the first. Aaron Hill doubled him home for the Tigers' first run.
The Tigers got four RBI from catcher Chris Phillips and left fielder Matt Heath. With two runners on base, Phillips went to the left field bleachers in the third inning against Georgia reliever Parks Robinson to give LSU a 7-0 lead. It was his fourth homer of the year and third in the last six games.
"He'd gotten ahead of me with his fastball, then he gave me a fastball right down the middle," Phillips said. "It surprised me."
Heath provided a two-run shot too right field - the first from the right side of the plate from the senior switch-hitter - in the fourth inning.
Georgia added another unearned run in the eighth against and scored twice in the ninth. Before the losing the shutout in the seventh, LSU had scored 20 unanswered runs against the Bulldogs.
Starting pitcher Brandon Moorhead (2-1) took the loss for Georgia. He last just two innings and gave up four runs.
The Bulldogs used four pitchers in the game.