What is the Least Common Multiple of 15798 and 15807?

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 15798 and 15807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15798 and 15807, than apply into the LCM equation.

GCF(15798,15807) = 3
LCM(15798,15807) = ( 15798 × 15807) / 3
LCM(15798,15807) = 249718986 / 3
LCM(15798,15807) = 83239662

Least Common Multiple (LCM) of 15798 and 15807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15798 and 15807. First we will calculate the prime factors of 15798 and 15807.

Prime Factorization of 15798

Prime Factorization of 15807

Now multiplying the highest exponent prime factors to calculate the LCM of 15798 and 15807.

LCM(15798,15807) = 2¹ × 3¹ × 2633¹ × 11¹ × 479¹
LCM(15798,15807) = 83239662