What is the Least Common Multiple of 15888 and 15900?

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 15900 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 15900, than apply into the LCM equation.

GCF(15888,15900) = 12
LCM(15888,15900) = ( 15888 × 15900) / 12
LCM(15888,15900) = 252619200 / 12
LCM(15888,15900) = 21051600

Least Common Multiple (LCM) of 15888 and 15900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15888 and 15900. First we will calculate the prime factors of 15888 and 15900.

Prime Factorization of 15888

Prime Factorization of 15900

Now multiplying the highest exponent prime factors to calculate the LCM of 15888 and 15900.

LCM(15888,15900) = 2⁴ × 3¹ × 331¹ × 5² × 53¹
LCM(15888,15900) = 21051600