What is the Least Common Multiple of 56748 and 56764?

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 56748 and 56764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56748 and 56764, than apply into the LCM equation.

GCF(56748,56764) = 4
LCM(56748,56764) = ( 56748 × 56764) / 4
LCM(56748,56764) = 3221243472 / 4
LCM(56748,56764) = 805310868

Least Common Multiple (LCM) of 56748 and 56764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56748 and 56764. First we will calculate the prime factors of 56748 and 56764.

Prime Factorization of 56748

Prime Factorization of 56764

Now multiplying the highest exponent prime factors to calculate the LCM of 56748 and 56764.

LCM(56748,56764) = 2² × 3¹ × 4729¹ × 23¹ × 617¹
LCM(56748,56764) = 805310868