# What is the LCM of 4 and 16?

Nov 5, 2016

$L C M \left(4 , 16\right) = 16$

#### Explanation:

write down the multiples of both numbers until you have the common ones, then choose the smallest.

multiples of 4:

$\left\{4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44 , 48 , \ldots \ldots\right\}$

multiples of 16:

$\left\{16 , 32 , 48 , \ldots \ldots\right\}$

$\left\{4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44 , 48. \ldots .\right\} \cap \left\{16 , 32 , 48 , \ldots \ldots\right\}$

$\left\{16 , 32 , 48. \ldots . .\right\}$

$L C M \left(4 , 16\right) = 16$