What is the Least Common Multiple of 56659 and 56672?

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 56659 and 56672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56659 and 56672, than apply into the LCM equation.

GCF(56659,56672) = 1
LCM(56659,56672) = ( 56659 × 56672) / 1
LCM(56659,56672) = 3210978848 / 1
LCM(56659,56672) = 3210978848

Least Common Multiple (LCM) of 56659 and 56672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56659 and 56672. First we will calculate the prime factors of 56659 and 56672.

Prime Factorization of 56659

Prime Factorization of 56672

Now multiplying the highest exponent prime factors to calculate the LCM of 56659 and 56672.

LCM(56659,56672) = 56659¹ × 2⁵ × 7¹ × 11¹ × 23¹
LCM(56659,56672) = 3210978848