What is the Least Common Multiple of 94860 and 94875?

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 94860 and 94875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94860 and 94875, than apply into the LCM equation.

GCF(94860,94875) = 15
LCM(94860,94875) = ( 94860 × 94875) / 15
LCM(94860,94875) = 8999842500 / 15
LCM(94860,94875) = 599989500

Least Common Multiple (LCM) of 94860 and 94875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94860 and 94875. First we will calculate the prime factors of 94860 and 94875.

Prime Factorization of 94860

Prime Factorization of 94875

Now multiplying the highest exponent prime factors to calculate the LCM of 94860 and 94875.

LCM(94860,94875) = 2² × 3² × 5³ × 17¹ × 31¹ × 11¹ × 23¹
LCM(94860,94875) = 599989500