What is the Least Common Multiple of 94194 and 94210?

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 94210 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 94210, than apply into the LCM equation.

GCF(94194,94210) = 2
LCM(94194,94210) = ( 94194 × 94210) / 2
LCM(94194,94210) = 8874016740 / 2
LCM(94194,94210) = 4437008370

Least Common Multiple (LCM) of 94194 and 94210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94194 and 94210. First we will calculate the prime factors of 94194 and 94210.

Prime Factorization of 94194

Prime Factorization of 94210

Now multiplying the highest exponent prime factors to calculate the LCM of 94194 and 94210.

LCM(94194,94210) = 2¹ × 3² × 5233¹ × 5¹ × 9421¹
LCM(94194,94210) = 4437008370