# How do you find the LCM of 15x^2y^3 and #18xy^2?

$90 \cdot {x}^{2} \cdot {y}^{3}$
Multiply the highest powers of x and y (2 & 3 in this case; ${x}^{2}$ in $15 {x}^{2} {y}^{3}$ is greater than $x$ in $18 \cdot x \cdot {y}^{2}$, so consider ${x}^{2}$; Similarly ${y}^{3}$ in $15 \cdot {x}^{2} \cdot {y}^{3}$ is greater than ${y}^{2}$ in $18 \cdot x \cdot {y}^{2}$, so consider ${y}^{3}$. So the variable part is ${x}^{2} \cdot {y}^{3}$. Coming to constant part, to find out the LCM between 15 & 18, divide both of them by 3, which is a factor of both
The final answer is $90 \cdot {x}^{2} \cdot {y}^{3}$