What is the Least Common Multiple of 30574 and 30586?

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 30574 and 30586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30574 and 30586, than apply into the LCM equation.

GCF(30574,30586) = 2
LCM(30574,30586) = ( 30574 × 30586) / 2
LCM(30574,30586) = 935136364 / 2
LCM(30574,30586) = 467568182

Least Common Multiple (LCM) of 30574 and 30586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30574 and 30586. First we will calculate the prime factors of 30574 and 30586.

Prime Factorization of 30574

Prime Factorization of 30586

Now multiplying the highest exponent prime factors to calculate the LCM of 30574 and 30586.

LCM(30574,30586) = 2¹ × 15287¹ × 41¹ × 373¹
LCM(30574,30586) = 467568182