Gabriel Martinelli continued his fine form, grabbing a brace within the opening 28 minutes.
Buyako Saka had a shot deflected into the net just before halftime to give the Gunners a comfortable lead.
Story of the match
Things settled down from there until Martinelli took advantage of a lapse in the Leeds defense, Adam Forshaw trying to walk the ball out of his own end, to beat Meslier, VAR confirming the goal.
It was three when Saka barely beat the offsides trap and had a go, his shot deflecting past Meslier, who had done little wrong despite the scoreline.
In the second half, the hosts found a way back into the match when White committed a clumsy foul on Raphinha and the Brazilian made no mistake, beating Ramsdale from the spot.
The Gunners restored their three-goal lead when Martin Odegaard capitalized on a loose ball and his weighted pass found the advancing Smith-Rowe and his first-time finish, much like his side's performance, was impeccable.
Man of the match: Gabriel Martinelli
With Pierre-Emerick Aubameyang having a falling-out with the club, Martinelli seems like an ideal replacement should the Frenchman no longer be a part of Arsenal's plans going forward.
His partnership with Lacazette has been a big part of why Arsenal have flown up the table as the duo have combined for three goals and two assists in the last three games.