What is the Least Common Multiple of 56672 and 56682?

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 56682 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 56682, than apply into the LCM equation.

GCF(56672,56682) = 2
LCM(56672,56682) = ( 56672 × 56682) / 2
LCM(56672,56682) = 3212282304 / 2
LCM(56672,56682) = 1606141152

Least Common Multiple (LCM) of 56672 and 56682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56682. First we will calculate the prime factors of 56672 and 56682.

Prime Factorization of 56672

Prime Factorization of 56682

Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56682.

LCM(56672,56682) = 2⁵ × 7¹ × 11¹ × 23¹ × 3² × 47¹ × 67¹
LCM(56672,56682) = 1606141152