[tex]54|2\\27|3\\.\ 9|3\\.\ 3|3\\.\ 1|\\\\54x^4y=\boxed{2}\cdot\boxed{3}\cdot3\cdot3\cdot \boxed{x}\cdot \boxed{x}\cdot x\cdot x\cdot \boxed{y}\\\\30|2\\15|3\\.\ 5|5\\.\ 1|\\\\30x^2y=\boxed{2}\cdot\boxed{3}\cdot5\cdot \boxed{x}\cdot \boxed{x}\cdot \boxed{y}\\\\LCM(54x^4y;\ 30x^2y)=\boxed{2}\cdot\boxed{3}\cdot3\cdot3\cdot5\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\cdot\boxed{y}=270x^4y[/tex]
