What is the Least Common Multiple of 15864 and 15872?

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 15864 and 15872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15864 and 15872, than apply into the LCM equation.

GCF(15864,15872) = 8
LCM(15864,15872) = ( 15864 × 15872) / 8
LCM(15864,15872) = 251793408 / 8
LCM(15864,15872) = 31474176

Least Common Multiple (LCM) of 15864 and 15872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15864 and 15872. First we will calculate the prime factors of 15864 and 15872.

Prime Factorization of 15864

Prime Factorization of 15872

Now multiplying the highest exponent prime factors to calculate the LCM of 15864 and 15872.

LCM(15864,15872) = 2⁹ × 3¹ × 661¹ × 31¹
LCM(15864,15872) = 31474176