What is the Least Common Multiple of 58299 and 58308?

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 58299 and 58308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58299 and 58308, than apply into the LCM equation.

GCF(58299,58308) = 3
LCM(58299,58308) = ( 58299 × 58308) / 3
LCM(58299,58308) = 3399298092 / 3
LCM(58299,58308) = 1133099364

Least Common Multiple (LCM) of 58299 and 58308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58299 and 58308. First we will calculate the prime factors of 58299 and 58308.

Prime Factorization of 58299

Prime Factorization of 58308

Now multiplying the highest exponent prime factors to calculate the LCM of 58299 and 58308.

LCM(58299,58308) = 3¹ × 19433¹ × 2² × 43¹ × 113¹
LCM(58299,58308) = 1133099364