What is the Least Common Multiple of 32589 and 32598?

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 32589 and 32598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32589 and 32598, than apply into the LCM equation.

GCF(32589,32598) = 9
LCM(32589,32598) = ( 32589 × 32598) / 9
LCM(32589,32598) = 1062336222 / 9
LCM(32589,32598) = 118037358

Least Common Multiple (LCM) of 32589 and 32598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32589 and 32598. First we will calculate the prime factors of 32589 and 32598.

Prime Factorization of 32589

Prime Factorization of 32598

Now multiplying the highest exponent prime factors to calculate the LCM of 32589 and 32598.

LCM(32589,32598) = 3³ × 17¹ × 71¹ × 2¹ × 1811¹
LCM(32589,32598) = 118037358