# How do you find the Least common multiple of 16x^2y, 32x?

Nov 29, 2016

$L C M = 32 {x}^{2} y$

#### Explanation:

The least common multiple in this case can be found by writing the factors of both the terms.
$16 {x}^{2} y = 2 \times 2 \times 2 \times 2 \times x \times x \times y$
$32 x = 2 \times 2 \times 2 \times 2 \times 2 \times x$
We find the common terms which are ${2}^{4} \mathmr{and} x$ in this case.
The terms left are $2 , x \mathmr{and} y$.
To get the LCM, we multiply the common terms with the terms that are left.
So, LCM = ${2}^{4} \times x \times 2 \times x \times y$
Therefore, LCM = $32 {x}^{2} y$