What is the Least Common Multiple of 58896 and 58908?

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 58896 and 58908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58896 and 58908, than apply into the LCM equation.

GCF(58896,58908) = 12
LCM(58896,58908) = ( 58896 × 58908) / 12
LCM(58896,58908) = 3469445568 / 12
LCM(58896,58908) = 289120464

Least Common Multiple (LCM) of 58896 and 58908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58896 and 58908. First we will calculate the prime factors of 58896 and 58908.

Prime Factorization of 58896

Prime Factorization of 58908

Now multiplying the highest exponent prime factors to calculate the LCM of 58896 and 58908.

LCM(58896,58908) = 2⁴ × 3² × 409¹ × 4909¹
LCM(58896,58908) = 289120464