What is the Least Common Multiple of 72657 and 72675?

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 72657 and 72675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72657 and 72675, than apply into the LCM equation.

GCF(72657,72675) = 9
LCM(72657,72675) = ( 72657 × 72675) / 9
LCM(72657,72675) = 5280347475 / 9
LCM(72657,72675) = 586705275

Least Common Multiple (LCM) of 72657 and 72675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72657 and 72675. First we will calculate the prime factors of 72657 and 72675.

Prime Factorization of 72657

Prime Factorization of 72675

Now multiplying the highest exponent prime factors to calculate the LCM of 72657 and 72675.

LCM(72657,72675) = 3⁵ × 13¹ × 23¹ × 5² × 17¹ × 19¹
LCM(72657,72675) = 586705275