What is the Least Common Multiple of 22344 and 22356?

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 22344 and 22356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22344 and 22356, than apply into the LCM equation.

GCF(22344,22356) = 12
LCM(22344,22356) = ( 22344 × 22356) / 12
LCM(22344,22356) = 499522464 / 12
LCM(22344,22356) = 41626872

Least Common Multiple (LCM) of 22344 and 22356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22344 and 22356. First we will calculate the prime factors of 22344 and 22356.

Prime Factorization of 22344

Prime Factorization of 22356

Now multiplying the highest exponent prime factors to calculate the LCM of 22344 and 22356.

LCM(22344,22356) = 2³ × 3⁵ × 7² × 19¹ × 23¹
LCM(22344,22356) = 41626872