What is the Least Common Multiple of 94008 and 94024?

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 94024 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 94024, than apply into the LCM equation.

GCF(94008,94024) = 8
LCM(94008,94024) = ( 94008 × 94024) / 8
LCM(94008,94024) = 8839008192 / 8
LCM(94008,94024) = 1104876024

Least Common Multiple (LCM) of 94008 and 94024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94008 and 94024. First we will calculate the prime factors of 94008 and 94024.

Prime Factorization of 94008

Prime Factorization of 94024

Now multiplying the highest exponent prime factors to calculate the LCM of 94008 and 94024.

LCM(94008,94024) = 2³ × 3¹ × 3917¹ × 7¹ × 23¹ × 73¹
LCM(94008,94024) = 1104876024