What is the Least Common Multiple of 22536 and 22551?

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 22536 and 22551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22536 and 22551, than apply into the LCM equation.

GCF(22536,22551) = 3
LCM(22536,22551) = ( 22536 × 22551) / 3
LCM(22536,22551) = 508209336 / 3
LCM(22536,22551) = 169403112

Least Common Multiple (LCM) of 22536 and 22551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22536 and 22551. First we will calculate the prime factors of 22536 and 22551.

Prime Factorization of 22536

Prime Factorization of 22551

Now multiplying the highest exponent prime factors to calculate the LCM of 22536 and 22551.

LCM(22536,22551) = 2³ × 3² × 313¹ × 7517¹
LCM(22536,22551) = 169403112