[tex]216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1|\\\\216=\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot\boxed{3}\\\\324|2\\162|2\\.\ 81|3\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1|\\\\324=\boxed{2}\cdot\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot\boxed{3}\cdot3\\\\LCM(216,\ 324)=\boxed{2}\cdot\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot\boxed{3}\cdot2\cdot3=648\\\\Answer:\ LCM(216,\ 324)=648[/tex]
