What is the Least Common Multiple of 94194 and 94200?

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 94194 and 94200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94194 and 94200, than apply into the LCM equation.

GCF(94194,94200) = 6
LCM(94194,94200) = ( 94194 × 94200) / 6
LCM(94194,94200) = 8873074800 / 6
LCM(94194,94200) = 1478845800

Least Common Multiple (LCM) of 94194 and 94200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94194 and 94200. First we will calculate the prime factors of 94194 and 94200.

Prime Factorization of 94194

Prime Factorization of 94200

Now multiplying the highest exponent prime factors to calculate the LCM of 94194 and 94200.

LCM(94194,94200) = 2³ × 3² × 5233¹ × 5² × 157¹
LCM(94194,94200) = 1478845800