What is the Least Common Multiple of 22632 and 22647?

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 22632 and 22647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22632 and 22647, than apply into the LCM equation.

GCF(22632,22647) = 3
LCM(22632,22647) = ( 22632 × 22647) / 3
LCM(22632,22647) = 512546904 / 3
LCM(22632,22647) = 170848968

Least Common Multiple (LCM) of 22632 and 22647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22632 and 22647. First we will calculate the prime factors of 22632 and 22647.

Prime Factorization of 22632

Prime Factorization of 22647

Now multiplying the highest exponent prime factors to calculate the LCM of 22632 and 22647.

LCM(22632,22647) = 2³ × 3¹ × 23¹ × 41¹ × 7549¹
LCM(22632,22647) = 170848968