What is the Least Common Multiple of 94496 and 94500?

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 94496 and 94500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94496 and 94500, than apply into the LCM equation.

GCF(94496,94500) = 4
LCM(94496,94500) = ( 94496 × 94500) / 4
LCM(94496,94500) = 8929872000 / 4
LCM(94496,94500) = 2232468000

Least Common Multiple (LCM) of 94496 and 94500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94496 and 94500. First we will calculate the prime factors of 94496 and 94500.

Prime Factorization of 94496

Prime Factorization of 94500

Now multiplying the highest exponent prime factors to calculate the LCM of 94496 and 94500.

LCM(94496,94500) = 2⁵ × 2953¹ × 3³ × 5³ × 7¹
LCM(94496,94500) = 2232468000