What is the Least Common Multiple of 72546 and 72564?

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 72546 and 72564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72546 and 72564, than apply into the LCM equation.

GCF(72546,72564) = 6
LCM(72546,72564) = ( 72546 × 72564) / 6
LCM(72546,72564) = 5264227944 / 6
LCM(72546,72564) = 877371324

Least Common Multiple (LCM) of 72546 and 72564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72546 and 72564. First we will calculate the prime factors of 72546 and 72564.

Prime Factorization of 72546

Prime Factorization of 72564

Now multiplying the highest exponent prime factors to calculate the LCM of 72546 and 72564.

LCM(72546,72564) = 2² × 3¹ × 107¹ × 113¹ × 6047¹
LCM(72546,72564) = 877371324