What is the Least Common Multiple of 94784 and 94792?

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 94784 and 94792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94784 and 94792, than apply into the LCM equation.

GCF(94784,94792) = 8
LCM(94784,94792) = ( 94784 × 94792) / 8
LCM(94784,94792) = 8984764928 / 8
LCM(94784,94792) = 1123095616

Least Common Multiple (LCM) of 94784 and 94792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94784 and 94792. First we will calculate the prime factors of 94784 and 94792.

Prime Factorization of 94784

Prime Factorization of 94792

Now multiplying the highest exponent prime factors to calculate the LCM of 94784 and 94792.

LCM(94784,94792) = 2⁶ × 1481¹ × 17² × 41¹
LCM(94784,94792) = 1123095616