What is the Least Common Multiple of 17856 and 17875?

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 17856 and 17875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17856 and 17875, than apply into the LCM equation.

GCF(17856,17875) = 1
LCM(17856,17875) = ( 17856 × 17875) / 1
LCM(17856,17875) = 319176000 / 1
LCM(17856,17875) = 319176000

Least Common Multiple (LCM) of 17856 and 17875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17856 and 17875. First we will calculate the prime factors of 17856 and 17875.

Prime Factorization of 17856

Prime Factorization of 17875

Now multiplying the highest exponent prime factors to calculate the LCM of 17856 and 17875.

LCM(17856,17875) = 2⁶ × 3² × 31¹ × 5³ × 11¹ × 13¹
LCM(17856,17875) = 319176000