What is the Least Common Multiple of 32580 and 32589?

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 32580 and 32589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32580 and 32589, than apply into the LCM equation.

GCF(32580,32589) = 9
LCM(32580,32589) = ( 32580 × 32589) / 9
LCM(32580,32589) = 1061749620 / 9
LCM(32580,32589) = 117972180

Least Common Multiple (LCM) of 32580 and 32589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32580 and 32589. First we will calculate the prime factors of 32580 and 32589.

Prime Factorization of 32580

Prime Factorization of 32589

Now multiplying the highest exponent prime factors to calculate the LCM of 32580 and 32589.

LCM(32580,32589) = 2² × 3³ × 5¹ × 181¹ × 17¹ × 71¹
LCM(32580,32589) = 117972180