What is the Least Common Multiple of 58305 and 58323?

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 58305 and 58323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58305 and 58323, than apply into the LCM equation.

GCF(58305,58323) = 3
LCM(58305,58323) = ( 58305 × 58323) / 3
LCM(58305,58323) = 3400522515 / 3
LCM(58305,58323) = 1133507505

Least Common Multiple (LCM) of 58305 and 58323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58305 and 58323. First we will calculate the prime factors of 58305 and 58323.

Prime Factorization of 58305

Prime Factorization of 58323

Now multiplying the highest exponent prime factors to calculate the LCM of 58305 and 58323.

LCM(58305,58323) = 3¹ × 5¹ × 13² × 23¹ × 19441¹
LCM(58305,58323) = 1133507505