What is the Least Common Multiple of 22656 and 22675?

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 22656 and 22675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22656 and 22675, than apply into the LCM equation.

GCF(22656,22675) = 1
LCM(22656,22675) = ( 22656 × 22675) / 1
LCM(22656,22675) = 513724800 / 1
LCM(22656,22675) = 513724800

Least Common Multiple (LCM) of 22656 and 22675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22656 and 22675. First we will calculate the prime factors of 22656 and 22675.

Prime Factorization of 22656

Prime Factorization of 22675

Now multiplying the highest exponent prime factors to calculate the LCM of 22656 and 22675.

LCM(22656,22675) = 2⁷ × 3¹ × 59¹ × 5² × 907¹
LCM(22656,22675) = 513724800