What is the Least Common Multiple of 18598 and 18611?

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 18598 and 18611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18598 and 18611, than apply into the LCM equation.

GCF(18598,18611) = 1
LCM(18598,18611) = ( 18598 × 18611) / 1
LCM(18598,18611) = 346127378 / 1
LCM(18598,18611) = 346127378

Least Common Multiple (LCM) of 18598 and 18611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18598 and 18611. First we will calculate the prime factors of 18598 and 18611.

Prime Factorization of 18598

Prime Factorization of 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 18598 and 18611.

LCM(18598,18611) = 2¹ × 17¹ × 547¹ × 37¹ × 503¹
LCM(18598,18611) = 346127378