# What is the least common multiple (LCM) of 4 and 7?

Oct 16, 2017

$28$

#### Explanation:

First, write a list of the multiples of each number like so:

$4 : \text{ } 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44 , 48 , 52 , 56 . . .$

$7 : \text{ } 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70 , 77 . . .$

Then you find the first number which $4$ and $7$ have in common. $4$ and $7$ have $28$ and $56$ in common BUT the LCM would be $28$ since that's the LEAST common, or the smallest number that they would have in common.

Hope this helped!