What is the Least Common Multiple of 19585 and 19598?

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 19585 and 19598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19585 and 19598, than apply into the LCM equation.

GCF(19585,19598) = 1
LCM(19585,19598) = ( 19585 × 19598) / 1
LCM(19585,19598) = 383826830 / 1
LCM(19585,19598) = 383826830

Least Common Multiple (LCM) of 19585 and 19598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19585 and 19598. First we will calculate the prime factors of 19585 and 19598.

Prime Factorization of 19585

Prime Factorization of 19598

Now multiplying the highest exponent prime factors to calculate the LCM of 19585 and 19598.

LCM(19585,19598) = 5¹ × 3917¹ × 2¹ × 41¹ × 239¹
LCM(19585,19598) = 383826830