What is the Least Common Multiple of 79524 and 79539?

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 79524 and 79539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79524 and 79539, than apply into the LCM equation.

GCF(79524,79539) = 3
LCM(79524,79539) = ( 79524 × 79539) / 3
LCM(79524,79539) = 6325259436 / 3
LCM(79524,79539) = 2108419812

Least Common Multiple (LCM) of 79524 and 79539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79524 and 79539. First we will calculate the prime factors of 79524 and 79539.

Prime Factorization of 79524

Prime Factorization of 79539

Now multiplying the highest exponent prime factors to calculate the LCM of 79524 and 79539.

LCM(79524,79539) = 2² × 3² × 47² × 26513¹
LCM(79524,79539) = 2108419812