GCF and LCM Calculator Logo

What is the Least Common Multiple of 15885 and 15896?

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 (LCM) of 15885 and 15896 is 252507960.

LCM(15885,15896) = 252507960

LCM Calculator and
and

Least Common Multiple of 15885 and 15896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15885 and 15896, than apply into the LCM equation.

GCF(15885,15896) = 1
LCM(15885,15896) = ( 15885 × 15896) / 1
LCM(15885,15896) = 252507960 / 1
LCM(15885,15896) = 252507960

Least Common Multiple (LCM) of 15885 and 15896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15885 and 15896. First we will calculate the prime factors of 15885 and 15896.

Prime Factorization of 15885

Prime factors of 15885 are 3, 5, 353. Prime factorization of 15885 in exponential form is:

15885 = 32 × 51 × 3531

Prime Factorization of 15896

Prime factors of 15896 are 2, 1987. Prime factorization of 15896 in exponential form is:

15896 = 23 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 15885 and 15896.

LCM(15885,15896) = 32 × 51 × 3531 × 23 × 19871
LCM(15885,15896) = 252507960