What is the Least Common Multiple of 94864 and 94868?

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 94868 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 94868, than apply into the LCM equation.

GCF(94864,94868) = 4
LCM(94864,94868) = ( 94864 × 94868) / 4
LCM(94864,94868) = 8999557952 / 4
LCM(94864,94868) = 2249889488

Least Common Multiple (LCM) of 94864 and 94868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94864 and 94868. First we will calculate the prime factors of 94864 and 94868.

Prime Factorization of 94864

Prime Factorization of 94868

Now multiplying the highest exponent prime factors to calculate the LCM of 94864 and 94868.

LCM(94864,94868) = 2⁴ × 7² × 11² × 37¹ × 641¹
LCM(94864,94868) = 2249889488