What is the Least Common Multiple of 94080 and 94089?

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 94080 and 94089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94080 and 94089, than apply into the LCM equation.

GCF(94080,94089) = 3
LCM(94080,94089) = ( 94080 × 94089) / 3
LCM(94080,94089) = 8851893120 / 3
LCM(94080,94089) = 2950631040

Least Common Multiple (LCM) of 94080 and 94089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94080 and 94089. First we will calculate the prime factors of 94080 and 94089.

Prime Factorization of 94080

Prime Factorization of 94089

Now multiplying the highest exponent prime factors to calculate the LCM of 94080 and 94089.

LCM(94080,94089) = 2⁷ × 3¹ × 5¹ × 7² × 79¹ × 397¹
LCM(94080,94089) = 2950631040