What is the Least Common Multiple of 5664 and 5675?

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 5664 and 5675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5664 and 5675, than apply into the LCM equation.

GCF(5664,5675) = 1
LCM(5664,5675) = ( 5664 × 5675) / 1
LCM(5664,5675) = 32143200 / 1
LCM(5664,5675) = 32143200

Least Common Multiple (LCM) of 5664 and 5675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5675. First we will calculate the prime factors of 5664 and 5675.

Prime Factorization of 5664

Prime Factorization of 5675

Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5675.

LCM(5664,5675) = 2⁵ × 3¹ × 59¹ × 5² × 227¹
LCM(5664,5675) = 32143200