What is the Least Common Multiple of 22623 and 22632?

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 22623 and 22632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22623 and 22632, than apply into the LCM equation.

GCF(22623,22632) = 3
LCM(22623,22632) = ( 22623 × 22632) / 3
LCM(22623,22632) = 512003736 / 3
LCM(22623,22632) = 170667912

Least Common Multiple (LCM) of 22623 and 22632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22623 and 22632. First we will calculate the prime factors of 22623 and 22632.

Prime Factorization of 22623

Prime Factorization of 22632

Now multiplying the highest exponent prime factors to calculate the LCM of 22623 and 22632.

LCM(22623,22632) = 3¹ × 7541¹ × 2³ × 23¹ × 41¹
LCM(22623,22632) = 170667912