Question

The smallest number that is divisible by both 36 and 45 is

Answer 1

Multiples of a number are always divisible by that number itself.

Few multiples of $3$ are:
$36\times 1=36$
$36\times 2=72$
$36\times 3=108$
$36\times 4=144$
$36\times 5=180$

Few multiples of $6$ are:
$45\times 1=6$
$45\times 2=90$
$45\times 3=135$
$45\times 4=180$
$45\times 5=225$

$\therefore$ The smallest multiple that is divisible by both $36$ and $45$ is $180.$

This is the LCM of $36$ and $45.$