What is the Least Common Multiple of 30589 and 30593?

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 30589 and 30593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30589 and 30593, than apply into the LCM equation.

GCF(30589,30593) = 1
LCM(30589,30593) = ( 30589 × 30593) / 1
LCM(30589,30593) = 935809277 / 1
LCM(30589,30593) = 935809277

Least Common Multiple (LCM) of 30589 and 30593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30589 and 30593. First we will calculate the prime factors of 30589 and 30593.

Prime Factorization of 30589

Prime Factorization of 30593

Now multiplying the highest exponent prime factors to calculate the LCM of 30589 and 30593.

LCM(30589,30593) = 13² × 181¹ × 30593¹
LCM(30589,30593) = 935809277