What is the Least Common Multiple of 94008 and 94025?

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 94008 and 94025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94008 and 94025, than apply into the LCM equation.

GCF(94008,94025) = 1
LCM(94008,94025) = ( 94008 × 94025) / 1
LCM(94008,94025) = 8839102200 / 1
LCM(94008,94025) = 8839102200

Least Common Multiple (LCM) of 94008 and 94025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94008 and 94025. First we will calculate the prime factors of 94008 and 94025.

Prime Factorization of 94008

Prime Factorization of 94025

Now multiplying the highest exponent prime factors to calculate the LCM of 94008 and 94025.

LCM(94008,94025) = 2³ × 3¹ × 3917¹ × 5² × 3761¹
LCM(94008,94025) = 8839102200