Second-half goals from Liverpool's Ben Woodburn and Kaide Gordon confirmed Leicester City's relegation from Division 1.
The 12th-placed Foxes had to win to avoid finishing in the bottom two but their defeat ensured West Ham United's safety.
Liverpool finished the season in seventh spot.
For more click on the club report links below. Go to the matchday tabs for line-ups and stats.
See: Leicester report | Liverpool report