What is the Least Common Multiple of 44756 and 44764?

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 44756 and 44764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44756 and 44764, than apply into the LCM equation.

GCF(44756,44764) = 4
LCM(44756,44764) = ( 44756 × 44764) / 4
LCM(44756,44764) = 2003457584 / 4
LCM(44756,44764) = 500864396

Least Common Multiple (LCM) of 44756 and 44764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44756 and 44764. First we will calculate the prime factors of 44756 and 44764.

Prime Factorization of 44756

Prime Factorization of 44764

Now multiplying the highest exponent prime factors to calculate the LCM of 44756 and 44764.

LCM(44756,44764) = 2² × 67¹ × 167¹ × 19² × 31¹
LCM(44756,44764) = 500864396