What is the Least Common Multiple of 52896 and 52908?

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 52896 and 52908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52896 and 52908, than apply into the LCM equation.

GCF(52896,52908) = 12
LCM(52896,52908) = ( 52896 × 52908) / 12
LCM(52896,52908) = 2798621568 / 12
LCM(52896,52908) = 233218464

Least Common Multiple (LCM) of 52896 and 52908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52896 and 52908. First we will calculate the prime factors of 52896 and 52908.

Prime Factorization of 52896

Prime Factorization of 52908

Now multiplying the highest exponent prime factors to calculate the LCM of 52896 and 52908.

LCM(52896,52908) = 2⁵ × 3¹ × 19¹ × 29¹ × 4409¹
LCM(52896,52908) = 233218464