What is the Least Common Multiple of 44756 and 44774?

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 44774 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 44774, than apply into the LCM equation.

GCF(44756,44774) = 2
LCM(44756,44774) = ( 44756 × 44774) / 2
LCM(44756,44774) = 2003905144 / 2
LCM(44756,44774) = 1001952572

Least Common Multiple (LCM) of 44756 and 44774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44756 and 44774. First we will calculate the prime factors of 44756 and 44774.

Prime Factorization of 44756

Prime Factorization of 44774

Now multiplying the highest exponent prime factors to calculate the LCM of 44756 and 44774.

LCM(44756,44774) = 2² × 67¹ × 167¹ × 61¹ × 367¹
LCM(44756,44774) = 1001952572