# How do you find the LCM of 27, 18?

Dec 9, 2016

$\lcm \left(18 , 54\right) = 54$

#### Explanation:

method 1

list multiples of the two numbers and pick out the common ones.

multiples $18 : \left\{18 , 36 , 54 , 72 , 90 , 108. \ldots\right\}$

multiples$27 : \left\{27 , 54 , 81 , 105 , 142 , \ldots .\right\}$

$\lcm \left(18 , 54\right) = 54$

method 2

use: $\text{ } a \times b = h c f \times \lcm$

$18 \times 27 = 9 \times \lcm$

lcm=(cancel(18)^2xx27)/cancel(9

$\lcm = 2 \times 27 = 54$