# The HCF of two numbers is 18 and their product is 12960.

Question:

The HCF of two numbers is 18 and their product is 12960. Find their LCM.

Solution:

​HCF of two numbers = 18
Product of two numbers = 12960
Let their LCM be x.

Using the formula, Product of two numbers = HCF × LCM
we conclude that

12960 = 18 × x

$x=\frac{12960}{18}$

= 720

Hence, their LCM is 720.