What is the Least Common Multiple of 78864 and 78877?

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 78877 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 78877, than apply into the LCM equation.

GCF(78864,78877) = 1
LCM(78864,78877) = ( 78864 × 78877) / 1
LCM(78864,78877) = 6220555728 / 1
LCM(78864,78877) = 6220555728

Least Common Multiple (LCM) of 78864 and 78877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78864 and 78877. First we will calculate the prime factors of 78864 and 78877.

Prime Factorization of 78864

Prime Factorization of 78877

Now multiplying the highest exponent prime factors to calculate the LCM of 78864 and 78877.

LCM(78864,78877) = 2⁴ × 3¹ × 31¹ × 53¹ × 78877¹
LCM(78864,78877) = 6220555728