What is the Least Common Multiple of 15586 and 15598?

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 15586 and 15598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15586 and 15598, than apply into the LCM equation.

GCF(15586,15598) = 2
LCM(15586,15598) = ( 15586 × 15598) / 2
LCM(15586,15598) = 243110428 / 2
LCM(15586,15598) = 121555214

Least Common Multiple (LCM) of 15586 and 15598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15586 and 15598. First we will calculate the prime factors of 15586 and 15598.

Prime Factorization of 15586

Prime Factorization of 15598

Now multiplying the highest exponent prime factors to calculate the LCM of 15586 and 15598.

LCM(15586,15598) = 2¹ × 7793¹ × 11¹ × 709¹
LCM(15586,15598) = 121555214