What is the Least Common Multiple of 58188 and 58199?

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 58188 and 58199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58188 and 58199, than apply into the LCM equation.

GCF(58188,58199) = 1
LCM(58188,58199) = ( 58188 × 58199) / 1
LCM(58188,58199) = 3386483412 / 1
LCM(58188,58199) = 3386483412

Least Common Multiple (LCM) of 58188 and 58199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58188 and 58199. First we will calculate the prime factors of 58188 and 58199.

Prime Factorization of 58188

Prime Factorization of 58199

Now multiplying the highest exponent prime factors to calculate the LCM of 58188 and 58199.

LCM(58188,58199) = 2² × 3¹ × 13¹ × 373¹ × 58199¹
LCM(58188,58199) = 3386483412