# What is the LCM of 8 and 36?

Nov 30, 2016

$72$

#### Explanation:

Least Common Multiple is when you're trying to find the smallest positive integer that can be divided by both the numbers.

Multiples of $8 : \ldots 40 , 56 , 64 , \textcolor{b l u e}{72} , 80. . .$

Multiples of $36 : \ldots 36 , \textcolor{b l u e}{72} , 108 , 144 , 181. . .$

The smallest, common number between the two is: 72

Sep 3, 2017

$L C M = 72$

#### Explanation:

Write each number as the product of the prime factors.
This tells us what each number is made up of.
For the LCM we need all the factors, but without any duplicates.

$\text{ } 8 = 2 \times 2 \times 2$
$\text{ } 36 = \underline{2 \times 2 \textcolor{w h i t e}{\times \times x} 3 \times 3}$
$L C M = 2 \times 2 \times 2 \times 3 \times 3 = 72$