What is the Least Common Multiple of 94792 and 94806?

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 94792 and 94806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94792 and 94806, than apply into the LCM equation.

GCF(94792,94806) = 2
LCM(94792,94806) = ( 94792 × 94806) / 2
LCM(94792,94806) = 8986850352 / 2
LCM(94792,94806) = 4493425176

Least Common Multiple (LCM) of 94792 and 94806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94792 and 94806. First we will calculate the prime factors of 94792 and 94806.

Prime Factorization of 94792

Prime Factorization of 94806

Now multiplying the highest exponent prime factors to calculate the LCM of 94792 and 94806.

LCM(94792,94806) = 2³ × 17² × 41¹ × 3² × 23¹ × 229¹
LCM(94792,94806) = 4493425176