What is the Least Common Multiple of 30586 and 30598?

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 30598 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 30598, than apply into the LCM equation.

GCF(30586,30598) = 2
LCM(30586,30598) = ( 30586 × 30598) / 2
LCM(30586,30598) = 935870428 / 2
LCM(30586,30598) = 467935214

Least Common Multiple (LCM) of 30586 and 30598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30586 and 30598. First we will calculate the prime factors of 30586 and 30598.

Prime Factorization of 30586

Prime Factorization of 30598

Now multiplying the highest exponent prime factors to calculate the LCM of 30586 and 30598.

LCM(30586,30598) = 2¹ × 41¹ × 373¹ × 15299¹
LCM(30586,30598) = 467935214