What is the Least Common Multiple of 79539 and 79548?

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 79539 and 79548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79539 and 79548, than apply into the LCM equation.

GCF(79539,79548) = 3
LCM(79539,79548) = ( 79539 × 79548) / 3
LCM(79539,79548) = 6327168372 / 3
LCM(79539,79548) = 2109056124

Least Common Multiple (LCM) of 79539 and 79548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79539 and 79548. First we will calculate the prime factors of 79539 and 79548.

Prime Factorization of 79539

Prime Factorization of 79548

Now multiplying the highest exponent prime factors to calculate the LCM of 79539 and 79548.

LCM(79539,79548) = 3¹ × 26513¹ × 2² × 7¹ × 947¹
LCM(79539,79548) = 2109056124