What is the Least Common Multiple of 30586 and 30604?

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 30586 and 30604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30586 and 30604, than apply into the LCM equation.

GCF(30586,30604) = 2
LCM(30586,30604) = ( 30586 × 30604) / 2
LCM(30586,30604) = 936053944 / 2
LCM(30586,30604) = 468026972

Least Common Multiple (LCM) of 30586 and 30604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30586 and 30604. First we will calculate the prime factors of 30586 and 30604.

Prime Factorization of 30586

Prime Factorization of 30604

Now multiplying the highest exponent prime factors to calculate the LCM of 30586 and 30604.

LCM(30586,30604) = 2² × 41¹ × 373¹ × 7¹ × 1093¹
LCM(30586,30604) = 468026972