What is the Least Common Multiple of 56736 and 56748?

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 56736 and 56748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56736 and 56748, than apply into the LCM equation.

GCF(56736,56748) = 12
LCM(56736,56748) = ( 56736 × 56748) / 12
LCM(56736,56748) = 3219654528 / 12
LCM(56736,56748) = 268304544

Least Common Multiple (LCM) of 56736 and 56748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56736 and 56748. First we will calculate the prime factors of 56736 and 56748.

Prime Factorization of 56736

Prime Factorization of 56748

Now multiplying the highest exponent prime factors to calculate the LCM of 56736 and 56748.

LCM(56736,56748) = 2⁵ × 3² × 197¹ × 4729¹
LCM(56736,56748) = 268304544