What is the Least Common Multiple of 15904 and 15909?

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 15904 and 15909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15904 and 15909, than apply into the LCM equation.

GCF(15904,15909) = 1
LCM(15904,15909) = ( 15904 × 15909) / 1
LCM(15904,15909) = 253016736 / 1
LCM(15904,15909) = 253016736

Least Common Multiple (LCM) of 15904 and 15909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15904 and 15909. First we will calculate the prime factors of 15904 and 15909.

Prime Factorization of 15904

Prime Factorization of 15909

Now multiplying the highest exponent prime factors to calculate the LCM of 15904 and 15909.

LCM(15904,15909) = 2⁵ × 7¹ × 71¹ × 3¹ × 5303¹
LCM(15904,15909) = 253016736