What is the Least Common Multiple of 14724 and 14732?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14724 and 14732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14724 and 14732, than apply into the LCM equation.

GCF(14724,14732) = 4
LCM(14724,14732) = ( 14724 × 14732) / 4
LCM(14724,14732) = 216913968 / 4
LCM(14724,14732) = 54228492

Least Common Multiple (LCM) of 14724 and 14732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14724 and 14732. First we will calculate the prime factors of 14724 and 14732.

Prime Factorization of 14724

Prime Factorization of 14732

Now multiplying the highest exponent prime factors to calculate the LCM of 14724 and 14732.

LCM(14724,14732) = 2² × 3² × 409¹ × 29¹ × 127¹
LCM(14724,14732) = 54228492