What is the Least Common Multiple of 44772 and 44784?

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 44784 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 44784, than apply into the LCM equation.

GCF(44772,44784) = 12
LCM(44772,44784) = ( 44772 × 44784) / 12
LCM(44772,44784) = 2005069248 / 12
LCM(44772,44784) = 167089104

Least Common Multiple (LCM) of 44772 and 44784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44772 and 44784. First we will calculate the prime factors of 44772 and 44784.

Prime Factorization of 44772

Prime Factorization of 44784

Now multiplying the highest exponent prime factors to calculate the LCM of 44772 and 44784.

LCM(44772,44784) = 2⁴ × 3² × 7¹ × 13¹ × 41¹ × 311¹
LCM(44772,44784) = 167089104