What is the Least Common Multiple of 22257 and 22272?

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 22257 and 22272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22257 and 22272, than apply into the LCM equation.

GCF(22257,22272) = 3
LCM(22257,22272) = ( 22257 × 22272) / 3
LCM(22257,22272) = 495707904 / 3
LCM(22257,22272) = 165235968

Least Common Multiple (LCM) of 22257 and 22272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22257 and 22272. First we will calculate the prime factors of 22257 and 22272.

Prime Factorization of 22257

Prime Factorization of 22272

Now multiplying the highest exponent prime factors to calculate the LCM of 22257 and 22272.

LCM(22257,22272) = 3² × 2473¹ × 2⁸ × 29¹
LCM(22257,22272) = 165235968