What is the Least Common Multiple of 94425 and 94440?

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 94425 and 94440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94425 and 94440, than apply into the LCM equation.

GCF(94425,94440) = 15
LCM(94425,94440) = ( 94425 × 94440) / 15
LCM(94425,94440) = 8917497000 / 15
LCM(94425,94440) = 594499800

Least Common Multiple (LCM) of 94425 and 94440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94425 and 94440. First we will calculate the prime factors of 94425 and 94440.

Prime Factorization of 94425

Prime Factorization of 94440

Now multiplying the highest exponent prime factors to calculate the LCM of 94425 and 94440.

LCM(94425,94440) = 3¹ × 5² × 1259¹ × 2³ × 787¹
LCM(94425,94440) = 594499800