What is the Least Common Multiple of 6876 and 6896?

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 6876 and 6896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6876 and 6896, than apply into the LCM equation.

GCF(6876,6896) = 4
LCM(6876,6896) = ( 6876 × 6896) / 4
LCM(6876,6896) = 47416896 / 4
LCM(6876,6896) = 11854224

Least Common Multiple (LCM) of 6876 and 6896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6876 and 6896. First we will calculate the prime factors of 6876 and 6896.

Prime Factorization of 6876

Prime Factorization of 6896

Now multiplying the highest exponent prime factors to calculate the LCM of 6876 and 6896.

LCM(6876,6896) = 2⁴ × 3² × 191¹ × 431¹
LCM(6876,6896) = 11854224