What is the Least Common Multiple of 78864 and 78872?

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 78864 and 78872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78864 and 78872, than apply into the LCM equation.

GCF(78864,78872) = 8
LCM(78864,78872) = ( 78864 × 78872) / 8
LCM(78864,78872) = 6220161408 / 8
LCM(78864,78872) = 777520176

Least Common Multiple (LCM) of 78864 and 78872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78864 and 78872. First we will calculate the prime factors of 78864 and 78872.

Prime Factorization of 78864

Prime Factorization of 78872

Now multiplying the highest exponent prime factors to calculate the LCM of 78864 and 78872.

LCM(78864,78872) = 2⁴ × 3¹ × 31¹ × 53¹ × 9859¹
LCM(78864,78872) = 777520176