What is the Least Common Multiple of 94040 and 94051?

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 94040 and 94051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94040 and 94051, than apply into the LCM equation.

GCF(94040,94051) = 1
LCM(94040,94051) = ( 94040 × 94051) / 1
LCM(94040,94051) = 8844556040 / 1
LCM(94040,94051) = 8844556040

Least Common Multiple (LCM) of 94040 and 94051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94040 and 94051. First we will calculate the prime factors of 94040 and 94051.

Prime Factorization of 94040

Prime Factorization of 94051

Now multiplying the highest exponent prime factors to calculate the LCM of 94040 and 94051.

LCM(94040,94051) = 2³ × 5¹ × 2351¹ × 163¹ × 577¹
LCM(94040,94051) = 8844556040