# How do you find the Least common multiple of 15, 6?

Dec 3, 2016

$\lcm \left(6 , 15\right) = 30$

#### Explanation:

list multiples of each number and pick out teh common ones.

multiples 6:$\left\{6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 60 , \ldots\right\}$

multiples of 15:$\left\{15 , 30 , 45 , 60 , 75 , . .\right\}$

the common multiples are seen to be :$\left\{30 , 60 , . .\right\}$

$\lcm \left(6 , 15\right) = 30$