What is the Least Common Multiple of 44754 and 44772?

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 44754 and 44772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44754 and 44772, than apply into the LCM equation.

GCF(44754,44772) = 6
LCM(44754,44772) = ( 44754 × 44772) / 6
LCM(44754,44772) = 2003726088 / 6
LCM(44754,44772) = 333954348

Least Common Multiple (LCM) of 44754 and 44772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44754 and 44772. First we will calculate the prime factors of 44754 and 44772.

Prime Factorization of 44754

Prime Factorization of 44772

Now multiplying the highest exponent prime factors to calculate the LCM of 44754 and 44772.

LCM(44754,44772) = 2² × 3¹ × 7459¹ × 7¹ × 13¹ × 41¹
LCM(44754,44772) = 333954348