What is the Least Common Multiple of 15869 and 15876?

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 15869 and 15876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15869 and 15876, than apply into the LCM equation.

GCF(15869,15876) = 7
LCM(15869,15876) = ( 15869 × 15876) / 7
LCM(15869,15876) = 251936244 / 7
LCM(15869,15876) = 35990892

Least Common Multiple (LCM) of 15869 and 15876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15869 and 15876. First we will calculate the prime factors of 15869 and 15876.

Prime Factorization of 15869

Prime Factorization of 15876

Now multiplying the highest exponent prime factors to calculate the LCM of 15869 and 15876.

LCM(15869,15876) = 7² × 2267¹ × 2² × 3⁴
LCM(15869,15876) = 35990892