What is the Least Common Multiple of 94864 and 94879?

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 94864 and 94879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94864 and 94879, than apply into the LCM equation.

GCF(94864,94879) = 1
LCM(94864,94879) = ( 94864 × 94879) / 1
LCM(94864,94879) = 9000601456 / 1
LCM(94864,94879) = 9000601456

Least Common Multiple (LCM) of 94864 and 94879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94864 and 94879. First we will calculate the prime factors of 94864 and 94879.

Prime Factorization of 94864

Prime Factorization of 94879

Now multiplying the highest exponent prime factors to calculate the LCM of 94864 and 94879.

LCM(94864,94879) = 2⁴ × 7² × 11² × 79¹ × 1201¹
LCM(94864,94879) = 9000601456