What is the Least Common Multiple of 22584 and 22599?

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 22584 and 22599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22584 and 22599, than apply into the LCM equation.

GCF(22584,22599) = 3
LCM(22584,22599) = ( 22584 × 22599) / 3
LCM(22584,22599) = 510375816 / 3
LCM(22584,22599) = 170125272

Least Common Multiple (LCM) of 22584 and 22599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22584 and 22599. First we will calculate the prime factors of 22584 and 22599.

Prime Factorization of 22584

Prime Factorization of 22599

Now multiplying the highest exponent prime factors to calculate the LCM of 22584 and 22599.

LCM(22584,22599) = 2³ × 3⁶ × 941¹ × 31¹
LCM(22584,22599) = 170125272