What is the Least Common Multiple of 94250 and 94264?

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 94250 and 94264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94250 and 94264, than apply into the LCM equation.

GCF(94250,94264) = 2
LCM(94250,94264) = ( 94250 × 94264) / 2
LCM(94250,94264) = 8884382000 / 2
LCM(94250,94264) = 4442191000

Least Common Multiple (LCM) of 94250 and 94264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94250 and 94264. First we will calculate the prime factors of 94250 and 94264.

Prime Factorization of 94250

Prime Factorization of 94264

Now multiplying the highest exponent prime factors to calculate the LCM of 94250 and 94264.

LCM(94250,94264) = 2³ × 5³ × 13¹ × 29¹ × 11783¹
LCM(94250,94264) = 4442191000