What is the Least Common Multiple of 18585 and 18589?

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 18585 and 18589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18585 and 18589, than apply into the LCM equation.

GCF(18585,18589) = 1
LCM(18585,18589) = ( 18585 × 18589) / 1
LCM(18585,18589) = 345476565 / 1
LCM(18585,18589) = 345476565

Least Common Multiple (LCM) of 18585 and 18589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18585 and 18589. First we will calculate the prime factors of 18585 and 18589.

Prime Factorization of 18585

Prime Factorization of 18589

Now multiplying the highest exponent prime factors to calculate the LCM of 18585 and 18589.

LCM(18585,18589) = 3² × 5¹ × 7¹ × 59¹ × 29¹ × 641¹
LCM(18585,18589) = 345476565