What is the Least Common Multiple of 15888 and 15903?

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 15888 and 15903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15888 and 15903, than apply into the LCM equation.

GCF(15888,15903) = 3
LCM(15888,15903) = ( 15888 × 15903) / 3
LCM(15888,15903) = 252666864 / 3
LCM(15888,15903) = 84222288

Least Common Multiple (LCM) of 15888 and 15903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15888 and 15903. First we will calculate the prime factors of 15888 and 15903.

Prime Factorization of 15888

Prime Factorization of 15903

Now multiplying the highest exponent prime factors to calculate the LCM of 15888 and 15903.

LCM(15888,15903) = 2⁴ × 3³ × 331¹ × 19¹ × 31¹
LCM(15888,15903) = 84222288