What is the Least Common Multiple of 18582 and 18599?

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 18582 and 18599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18582 and 18599, than apply into the LCM equation.

GCF(18582,18599) = 1
LCM(18582,18599) = ( 18582 × 18599) / 1
LCM(18582,18599) = 345606618 / 1
LCM(18582,18599) = 345606618

Least Common Multiple (LCM) of 18582 and 18599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18582 and 18599. First we will calculate the prime factors of 18582 and 18599.

Prime Factorization of 18582

Prime Factorization of 18599

Now multiplying the highest exponent prime factors to calculate the LCM of 18582 and 18599.

LCM(18582,18599) = 2¹ × 3¹ × 19¹ × 163¹ × 7¹ × 2657¹
LCM(18582,18599) = 345606618