What is the Least Common Multiple of 44772 and 44787?

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 44772 and 44787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44772 and 44787, than apply into the LCM equation.

GCF(44772,44787) = 3
LCM(44772,44787) = ( 44772 × 44787) / 3
LCM(44772,44787) = 2005203564 / 3
LCM(44772,44787) = 668401188

Least Common Multiple (LCM) of 44772 and 44787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44772 and 44787. First we will calculate the prime factors of 44772 and 44787.

Prime Factorization of 44772

Prime Factorization of 44787

Now multiplying the highest exponent prime factors to calculate the LCM of 44772 and 44787.

LCM(44772,44787) = 2² × 3¹ × 7¹ × 13¹ × 41¹ × 14929¹
LCM(44772,44787) = 668401188