What is the Least Common Multiple of 79575 and 79580?

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 79575 and 79580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79575 and 79580, than apply into the LCM equation.

GCF(79575,79580) = 5
LCM(79575,79580) = ( 79575 × 79580) / 5
LCM(79575,79580) = 6332578500 / 5
LCM(79575,79580) = 1266515700

Least Common Multiple (LCM) of 79575 and 79580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79575 and 79580. First we will calculate the prime factors of 79575 and 79580.

Prime Factorization of 79575

Prime Factorization of 79580

Now multiplying the highest exponent prime factors to calculate the LCM of 79575 and 79580.

LCM(79575,79580) = 3¹ × 5² × 1061¹ × 2² × 23¹ × 173¹
LCM(79575,79580) = 1266515700