The Cavaliers won for the second time in seven games and handed the Hawks their fourth straight setback.
Cleveland limited Atlanta to 12 points in the second period and grabbed a nine-point advantage at the break. The Hawks quickly cut their deficit to one in the third period, then wilted while Irving was hitting 11-of-15 from the field and converting five 3-point shots.
Atlanta was led by Josh Smith with 17 points, eight rebounds, six blocks and four assists.
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