What is the Least Common Multiple of 18585 and 18598?

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 18598 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 18598, than apply into the LCM equation.

GCF(18585,18598) = 1
LCM(18585,18598) = ( 18585 × 18598) / 1
LCM(18585,18598) = 345643830 / 1
LCM(18585,18598) = 345643830

Least Common Multiple (LCM) of 18585 and 18598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18585 and 18598. First we will calculate the prime factors of 18585 and 18598.

Prime Factorization of 18585

Prime Factorization of 18598

Now multiplying the highest exponent prime factors to calculate the LCM of 18585 and 18598.

LCM(18585,18598) = 3² × 5¹ × 7¹ × 59¹ × 2¹ × 17¹ × 547¹
LCM(18585,18598) = 345643830