What is the Least Common Multiple of 94852 and 94858?

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 94852 and 94858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94852 and 94858, than apply into the LCM equation.

GCF(94852,94858) = 2
LCM(94852,94858) = ( 94852 × 94858) / 2
LCM(94852,94858) = 8997471016 / 2
LCM(94852,94858) = 4498735508

Least Common Multiple (LCM) of 94852 and 94858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94852 and 94858. First we will calculate the prime factors of 94852 and 94858.

Prime Factorization of 94852

Prime Factorization of 94858

Now multiplying the highest exponent prime factors to calculate the LCM of 94852 and 94858.

LCM(94852,94858) = 2² × 23¹ × 1031¹ × 43¹ × 1103¹
LCM(94852,94858) = 4498735508