What is the Least Common Multiple of 58198 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 58198 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 58198 and 58208, than apply into the LCM equation.

GCF(58198,58208) = 2
LCM(58198,58208) = ( 58198 × 58208) / 2
LCM(58198,58208) = 3387589184 / 2
LCM(58198,58208) = 1693794592

Least Common Multiple (LCM) of 58198 and 58208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58198 and 58208. First we will calculate the prime factors of 58198 and 58208.

Prime Factorization of 58198

Prime Factorization of 58208

Now multiplying the highest exponent prime factors to calculate the LCM of 58198 and 58208.

LCM(58198,58208) = 2⁵ × 7¹ × 4157¹ × 17¹ × 107¹
LCM(58198,58208) = 1693794592