What is the Least Common Multiple of 5589 and 5609?

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 5589 and 5609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5589 and 5609, than apply into the LCM equation.

GCF(5589,5609) = 1
LCM(5589,5609) = ( 5589 × 5609) / 1
LCM(5589,5609) = 31348701 / 1
LCM(5589,5609) = 31348701

Least Common Multiple (LCM) of 5589 and 5609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5609. First we will calculate the prime factors of 5589 and 5609.

Prime Factorization of 5589

Prime Factorization of 5609

Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5609.

LCM(5589,5609) = 3⁵ × 23¹ × 71¹ × 79¹
LCM(5589,5609) = 31348701