What is the Least Common Multiple of 15909 and 15917?

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 15909 and 15917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15909 and 15917, than apply into the LCM equation.

GCF(15909,15917) = 1
LCM(15909,15917) = ( 15909 × 15917) / 1
LCM(15909,15917) = 253223553 / 1
LCM(15909,15917) = 253223553

Least Common Multiple (LCM) of 15909 and 15917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15909 and 15917. First we will calculate the prime factors of 15909 and 15917.

Prime Factorization of 15909

Prime Factorization of 15917

Now multiplying the highest exponent prime factors to calculate the LCM of 15909 and 15917.

LCM(15909,15917) = 3¹ × 5303¹ × 11¹ × 1447¹
LCM(15909,15917) = 253223553