What is the Least Common Multiple of 15687 and 15696?

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 15687 and 15696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15687 and 15696, than apply into the LCM equation.

GCF(15687,15696) = 9
LCM(15687,15696) = ( 15687 × 15696) / 9
LCM(15687,15696) = 246223152 / 9
LCM(15687,15696) = 27358128

Least Common Multiple (LCM) of 15687 and 15696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15687 and 15696. First we will calculate the prime factors of 15687 and 15696.

Prime Factorization of 15687

Prime Factorization of 15696

Now multiplying the highest exponent prime factors to calculate the LCM of 15687 and 15696.

LCM(15687,15696) = 3³ × 7¹ × 83¹ × 2⁴ × 109¹
LCM(15687,15696) = 27358128