help pls

What is the smallest positive integer $n$ such that
$3n$ is a perfect square and
$2n$ is a perfect cube?

My attempt:

$\begin{array}{|rcll|} \hline 3n &=& 3*&3*2*3*2*3 =2^2(3^2)^2=324=18^2 \\ 2n &=& 2*&3*2*3*2*3 =2^33^3=216=6^3 \\ \hline n &=& & 3*2*3*2*3 = 108 \\ \hline \end{array}$