What is the Least Common Multiple of 56688 and 56704?

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 56688 and 56704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56688 and 56704, than apply into the LCM equation.

GCF(56688,56704) = 16
LCM(56688,56704) = ( 56688 × 56704) / 16
LCM(56688,56704) = 3214436352 / 16
LCM(56688,56704) = 200902272

Least Common Multiple (LCM) of 56688 and 56704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56688 and 56704. First we will calculate the prime factors of 56688 and 56704.

Prime Factorization of 56688

Prime Factorization of 56704

Now multiplying the highest exponent prime factors to calculate the LCM of 56688 and 56704.

LCM(56688,56704) = 2⁷ × 3¹ × 1181¹ × 443¹
LCM(56688,56704) = 200902272