What is the Least Common Multiple of 56672 and 56678?

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 56672 and 56678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56672 and 56678, than apply into the LCM equation.

GCF(56672,56678) = 2
LCM(56672,56678) = ( 56672 × 56678) / 2
LCM(56672,56678) = 3212055616 / 2
LCM(56672,56678) = 1606027808

Least Common Multiple (LCM) of 56672 and 56678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56678. First we will calculate the prime factors of 56672 and 56678.

Prime Factorization of 56672

Prime Factorization of 56678

Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56678.

LCM(56672,56678) = 2⁵ × 7¹ × 11¹ × 23¹ × 17¹ × 1667¹
LCM(56672,56678) = 1606027808