Jeff Mayolo rushed for 111 yards and two touchdowns, leading La Center to the shutout road victory.
Jeremy Scott added 85 yards rushing, including a 51-yard touchdown in the first quarter.
Brett Judd added two scores for the Wildcats.
La Center scored two third-quarter touchdowns to make it a running clock the rest of the way.
LA CENTER 45 STEVENSON 0
La Center 12 19 14 0–45
Stevenson 0 0 0 0 –0
First quarter
LC — Brett Judd 21 run (pass failed)
LC — Jeremy Scott 51 run (pass failed)
Second quarter
LC — Jeff Mayolo 11 run (pass failed)
LC — Mayolo 5 run (pass failed)
LC — Evan Honore 10 run (Sean Fox kick
Third quarter
LC — Judd 12 run (Fox kick)
LC — Wyatt Dodson 12 run (Fox kick)
Individual statistics
RUSHING — La Center: Mayolo 11-111, Scott 6-85, Judd 4-39, Honore 5-38, Dodson 5-30, Colton Dolezal 1-15, Isaac Johnson 1-6, Bryce Campbell 1-5, Sam Granneman 1-5. Stevenson: Clayton Hansen 2-1, Tanner Otis 1 (-1), Luke Nichols 4 (-5), Brandon Connel 4-14
PASSING — La Center: Scott 4-10-0-69; Stevenson: Nichols 3-8-36, Connel 4-9-28.
RECEIVING — La Center: Honore 3-60, Dolezal 1-9. Stevenson: Isaac Hoidal 1-2, Josiah Loidevin 2-44, Lincoln Krog 2-8, Austin Pearson 1-8.