What is the Least Common Multiple of 94260 and 94275?

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 94260 and 94275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94260 and 94275, than apply into the LCM equation.

GCF(94260,94275) = 15
LCM(94260,94275) = ( 94260 × 94275) / 15
LCM(94260,94275) = 8886361500 / 15
LCM(94260,94275) = 592424100

Least Common Multiple (LCM) of 94260 and 94275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94260 and 94275. First we will calculate the prime factors of 94260 and 94275.

Prime Factorization of 94260

Prime Factorization of 94275

Now multiplying the highest exponent prime factors to calculate the LCM of 94260 and 94275.

LCM(94260,94275) = 2² × 3² × 5² × 1571¹ × 419¹
LCM(94260,94275) = 592424100