Yards per game:
Alabama: 379.4, 158 first downs, time of possession 32:29
LSU: 401, 148 first downs, time of possession 30:43
Passing
Alabama: 220 yards, 7.88 per attempt, 78 first downs, 14 touchdowns, 4 INT, 21 sacks
LSU: 241.9, 8.67 per attempt, 80 first downs, 14 touchdowns, 5 INT, 15 sacks
Rushing Yards per game:
159.4, 4.1 per attempt, 80 first downs, 10 touchdowns
159.1, 4.2 per attempt, 68 first downs, 14 touchdowns
Points per game:
Alabama: 24.3
LSU: 31.8
Alabama's running game is about as similar to LSU's as anyone else you could name, but probably a bit more consistent at chewing clock.
LSU has a slight edge in passing, with better pass protection and a tendency toward the big play, with 40+ yard passes in 5 of 8 games, and 30+ yard runs in 4 of 8 games.
Alabama has 40+ yard passes in 7 of 9 games, and 30+ yard runs in 4 of 8 games.
Alabama has given up a 40+ yard pass once, against Florida.
Alabama has given up 30+ yard runs to Florida and Arkansas.
On the whole, the offenses are pretty equal, with the exception of Alabama's recent failure to convert offensive production into points, which so far has been made up for on defense, who have denied opponents touchdowns on 16 consecutive red zone appearances. If you're LSU, I hope you do believe Alabama can't score on you, because that type of thinking is what will get you smoked.