What is the Least Common Multiple of 94864 and 94871?

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 94871 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 94871, than apply into the LCM equation.

GCF(94864,94871) = 7
LCM(94864,94871) = ( 94864 × 94871) / 7
LCM(94864,94871) = 8999842544 / 7
LCM(94864,94871) = 1285691792

Least Common Multiple (LCM) of 94864 and 94871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94864 and 94871. First we will calculate the prime factors of 94864 and 94871.

Prime Factorization of 94864

Prime Factorization of 94871

Now multiplying the highest exponent prime factors to calculate the LCM of 94864 and 94871.

LCM(94864,94871) = 2⁴ × 7² × 11² × 13553¹
LCM(94864,94871) = 1285691792