noncommutative algebra – Prime rings and commuting ideals

Question : Show that
$R$ is a prime ring containing two commuting non-zero left ideals $I$ and $J$ $implies R$ is commutative.
Where “commuting ideals” means $ij=ji$ for all $i in I$, $j in J$
My attempt : Let $x, y in R, quad xIyJ=yJxI$ and I need a hint to accomplish the proof.