What is the Least Common Multiple of 15819 and 15837?

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 15819 and 15837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15819 and 15837, than apply into the LCM equation.

GCF(15819,15837) = 3
LCM(15819,15837) = ( 15819 × 15837) / 3
LCM(15819,15837) = 250525503 / 3
LCM(15819,15837) = 83508501

Least Common Multiple (LCM) of 15819 and 15837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15819 and 15837. First we will calculate the prime factors of 15819 and 15837.

Prime Factorization of 15819

Prime Factorization of 15837

Now multiplying the highest exponent prime factors to calculate the LCM of 15819 and 15837.

LCM(15819,15837) = 3¹ × 5273¹ × 5279¹
LCM(15819,15837) = 83508501