What is the Least Common Multiple of 56672 and 56683?

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 56683 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 56683, than apply into the LCM equation.

GCF(56672,56683) = 11
LCM(56672,56683) = ( 56672 × 56683) / 11
LCM(56672,56683) = 3212338976 / 11
LCM(56672,56683) = 292030816

Least Common Multiple (LCM) of 56672 and 56683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56683. First we will calculate the prime factors of 56672 and 56683.

Prime Factorization of 56672

Prime Factorization of 56683

Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56683.

LCM(56672,56683) = 2⁵ × 7¹ × 11¹ × 23¹ × 5153¹
LCM(56672,56683) = 292030816