What is the Least Common Multiple of 58194 and 58210?

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 58194 and 58210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58194 and 58210, than apply into the LCM equation.

GCF(58194,58210) = 2
LCM(58194,58210) = ( 58194 × 58210) / 2
LCM(58194,58210) = 3387472740 / 2
LCM(58194,58210) = 1693736370

Least Common Multiple (LCM) of 58194 and 58210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58194 and 58210. First we will calculate the prime factors of 58194 and 58210.

Prime Factorization of 58194

Prime Factorization of 58210

Now multiplying the highest exponent prime factors to calculate the LCM of 58194 and 58210.

LCM(58194,58210) = 2¹ × 3² × 53¹ × 61¹ × 5¹ × 5821¹
LCM(58194,58210) = 1693736370