# How do you find the Least common multiple of 20, 30?

Dec 8, 2016

$\lcm \left(20 , 30\right) = 60$

#### Explanation:

multiples of 20:$\text{ } \left\{20 , 40 , 60 , 80 , 100 , 120 , 140 , 160 , 180. .\right\}$

multiples of 30:$\text{ } \left\{30 , 60 , 90 , 120 , 150 , 180 , \ldots\right\}$

common multiples;$\text{ } \left\{60 , 120 , 180. . .\right\}$

$\lcm \left(20 , 30\right) = 60$