What is the Least Common Multiple of 60864 and 60872?

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 60864 and 60872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60864 and 60872, than apply into the LCM equation.

GCF(60864,60872) = 8
LCM(60864,60872) = ( 60864 × 60872) / 8
LCM(60864,60872) = 3704913408 / 8
LCM(60864,60872) = 463114176

Least Common Multiple (LCM) of 60864 and 60872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60864 and 60872. First we will calculate the prime factors of 60864 and 60872.

Prime Factorization of 60864

Prime Factorization of 60872

Now multiplying the highest exponent prime factors to calculate the LCM of 60864 and 60872.

LCM(60864,60872) = 2⁶ × 3¹ × 317¹ × 7¹ × 1087¹
LCM(60864,60872) = 463114176