What is the Least Common Multiple of 15876 and 15888?

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 15876 and 15888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15876 and 15888, than apply into the LCM equation.

GCF(15876,15888) = 12
LCM(15876,15888) = ( 15876 × 15888) / 12
LCM(15876,15888) = 252237888 / 12
LCM(15876,15888) = 21019824

Least Common Multiple (LCM) of 15876 and 15888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15876 and 15888. First we will calculate the prime factors of 15876 and 15888.

Prime Factorization of 15876

Prime Factorization of 15888

Now multiplying the highest exponent prime factors to calculate the LCM of 15876 and 15888.

LCM(15876,15888) = 2⁴ × 3⁴ × 7² × 331¹
LCM(15876,15888) = 21019824