# How do you find the LCM for 10a^2, 12ab^2?

It is $10 {a}^{2} = 2 \cdot 5 \cdot {a}^{2}$ and $12 a {b}^{2} = 3 \cdot {2}^{2} \cdot a \cdot {b}^{2}$ hence
$L C M \left(10 {a}^{2} , 12 a {b}^{2}\right) = 5 \cdot {a}^{2} \cdot 3 \cdot {2}^{2} \cdot {b}^{2} = 60 \cdot {a}^{2} \cdot {b}^{2}$