What is the Least Common Multiple of 74664 and 74678?

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 74664 and 74678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74664 and 74678, than apply into the LCM equation.

GCF(74664,74678) = 2
LCM(74664,74678) = ( 74664 × 74678) / 2
LCM(74664,74678) = 5575758192 / 2
LCM(74664,74678) = 2787879096

Least Common Multiple (LCM) of 74664 and 74678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74664 and 74678. First we will calculate the prime factors of 74664 and 74678.

Prime Factorization of 74664

Prime Factorization of 74678

Now multiplying the highest exponent prime factors to calculate the LCM of 74664 and 74678.

LCM(74664,74678) = 2³ × 3² × 17¹ × 61¹ × 37339¹
LCM(74664,74678) = 2787879096