What is the LCM of 108 and 135?

Answer 1

For any two counting numbers x and y:

LCM(x, y) x HCF(x, y) = Product of x and y

LCM(x, y) = (Product of x and y)/HCF(x, y)

Here, we have 108 and 135 & their product = 108 x 135

But, HCF(108, 135) = ?

So, we shall first calculate HCF by the method of prime factorization.

108 = 33x22 & 135 = 33x51

It is clear that 33 is the HCF of 108 and 135.

So, LCM(108, 135) = (108 x 135)/33 = 4 x 135 = 540

Answer 2

The LCM is 540.