What is the Least Common Multiple of 60672 and 60684?

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 60672 and 60684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60672 and 60684, than apply into the LCM equation.

GCF(60672,60684) = 12
LCM(60672,60684) = ( 60672 × 60684) / 12
LCM(60672,60684) = 3681819648 / 12
LCM(60672,60684) = 306818304

Least Common Multiple (LCM) of 60672 and 60684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60672 and 60684. First we will calculate the prime factors of 60672 and 60684.

Prime Factorization of 60672

Prime Factorization of 60684

Now multiplying the highest exponent prime factors to calculate the LCM of 60672 and 60684.

LCM(60672,60684) = 2⁸ × 3¹ × 79¹ × 13¹ × 389¹
LCM(60672,60684) = 306818304