If a and b are relatively prime, what is their LCM?

Question:

If a and b are relatively prime, what is their LCM?

Solution:

If two numbers are relatively prime then their greatest common factor will be 1.

∴ HCF(ab) = 1

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

a × b = 1 × LCM
∴ LCM = ab

Thus, LCM(ab) is ab.

Leave a comment