What is the Least Common Multiple of 22239 and 22257?

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 22239 and 22257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22239 and 22257, than apply into the LCM equation.

GCF(22239,22257) = 9
LCM(22239,22257) = ( 22239 × 22257) / 9
LCM(22239,22257) = 494973423 / 9
LCM(22239,22257) = 54997047

Least Common Multiple (LCM) of 22239 and 22257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22239 and 22257. First we will calculate the prime factors of 22239 and 22257.

Prime Factorization of 22239

Prime Factorization of 22257

Now multiplying the highest exponent prime factors to calculate the LCM of 22239 and 22257.

LCM(22239,22257) = 3² × 7¹ × 353¹ × 2473¹
LCM(22239,22257) = 54997047