What is the Least Common Multiple of 44864 and 44879?

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 44864 and 44879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44864 and 44879, than apply into the LCM equation.

GCF(44864,44879) = 1
LCM(44864,44879) = ( 44864 × 44879) / 1
LCM(44864,44879) = 2013451456 / 1
LCM(44864,44879) = 2013451456

Least Common Multiple (LCM) of 44864 and 44879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44864 and 44879. First we will calculate the prime factors of 44864 and 44879.

Prime Factorization of 44864

Prime Factorization of 44879

Now multiplying the highest exponent prime factors to calculate the LCM of 44864 and 44879.

LCM(44864,44879) = 2⁶ × 701¹ × 44879¹
LCM(44864,44879) = 2013451456