If the product of two numbers is 1080 and their HCF is 30, find their LCM.

Question

Philoid · Accepted Answer

We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.

Here a × b = 1080 and HCF = 30

∴ LCM = (a × b)/ HCF

⇒ LCM = 1080/30

⇒ LCM = 36

The LCM of given product of two numbers is 36.