GCF and LCM Calculator Logo

What is the Least Common Multiple of 6856 and 6876?

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 (LCM) of 6856 and 6876 is 11785464.

LCM(6856,6876) = 11785464

LCM Calculator and
and

Least Common Multiple of 6856 and 6876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6856 and 6876, than apply into the LCM equation.

GCF(6856,6876) = 4
LCM(6856,6876) = ( 6856 × 6876) / 4
LCM(6856,6876) = 47141856 / 4
LCM(6856,6876) = 11785464

Least Common Multiple (LCM) of 6856 and 6876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6856 and 6876. First we will calculate the prime factors of 6856 and 6876.

Prime Factorization of 6856

Prime factors of 6856 are 2, 857. Prime factorization of 6856 in exponential form is:

6856 = 23 × 8571

Prime Factorization of 6876

Prime factors of 6876 are 2, 3, 191. Prime factorization of 6876 in exponential form is:

6876 = 22 × 32 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6856 and 6876.

LCM(6856,6876) = 23 × 8571 × 32 × 1911
LCM(6856,6876) = 11785464