What is the Least Common Multiple of 58194 and 58208?

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 58208 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 58208, than apply into the LCM equation.

GCF(58194,58208) = 2
LCM(58194,58208) = ( 58194 × 58208) / 2
LCM(58194,58208) = 3387356352 / 2
LCM(58194,58208) = 1693678176

Least Common Multiple (LCM) of 58194 and 58208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58194 and 58208. First we will calculate the prime factors of 58194 and 58208.

Prime Factorization of 58194

Prime Factorization of 58208

Now multiplying the highest exponent prime factors to calculate the LCM of 58194 and 58208.

LCM(58194,58208) = 2⁵ × 3² × 53¹ × 61¹ × 17¹ × 107¹
LCM(58194,58208) = 1693678176