What is the Least Common Multiple of 56724 and 56736?

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 56724 and 56736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56724 and 56736, than apply into the LCM equation.

GCF(56724,56736) = 12
LCM(56724,56736) = ( 56724 × 56736) / 12
LCM(56724,56736) = 3218292864 / 12
LCM(56724,56736) = 268191072

Least Common Multiple (LCM) of 56724 and 56736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56724 and 56736. First we will calculate the prime factors of 56724 and 56736.

Prime Factorization of 56724

Prime Factorization of 56736

Now multiplying the highest exponent prime factors to calculate the LCM of 56724 and 56736.

LCM(56724,56736) = 2⁵ × 3² × 29¹ × 163¹ × 197¹
LCM(56724,56736) = 268191072