What is the Least Common Multiple of 5580 and 5589?

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 5580 and 5589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5580 and 5589, than apply into the LCM equation.

GCF(5580,5589) = 9
LCM(5580,5589) = ( 5580 × 5589) / 9
LCM(5580,5589) = 31186620 / 9
LCM(5580,5589) = 3465180

Least Common Multiple (LCM) of 5580 and 5589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5580 and 5589. First we will calculate the prime factors of 5580 and 5589.

Prime Factorization of 5580

Prime Factorization of 5589

Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5589.

LCM(5580,5589) = 2² × 3⁵ × 5¹ × 31¹ × 23¹
LCM(5580,5589) = 3465180