What is the Least Common Multiple of 58290 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 58290 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 58290 and 58308, than apply into the LCM equation.

GCF(58290,58308) = 6
LCM(58290,58308) = ( 58290 × 58308) / 6
LCM(58290,58308) = 3398773320 / 6
LCM(58290,58308) = 566462220

Least Common Multiple (LCM) of 58290 and 58308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58290 and 58308. First we will calculate the prime factors of 58290 and 58308.

Prime Factorization of 58290

Prime Factorization of 58308

Now multiplying the highest exponent prime factors to calculate the LCM of 58290 and 58308.

LCM(58290,58308) = 2² × 3¹ × 5¹ × 29¹ × 67¹ × 43¹ × 113¹
LCM(58290,58308) = 566462220