GCF and LCM Calculator Logo

What is the Least Common Multiple of 6856 and 6870?

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 6870 is 23550360.

LCM(6856,6870) = 23550360

LCM Calculator and
and

Least Common Multiple of 6856 and 6870 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 6870, than apply into the LCM equation.

GCF(6856,6870) = 2
LCM(6856,6870) = ( 6856 × 6870) / 2
LCM(6856,6870) = 47100720 / 2
LCM(6856,6870) = 23550360

Least Common Multiple (LCM) of 6856 and 6870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6856 and 6870. First we will calculate the prime factors of 6856 and 6870.

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 6870

Prime factors of 6870 are 2, 3, 5, 229. Prime factorization of 6870 in exponential form is:

6870 = 21 × 31 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 6856 and 6870.

LCM(6856,6870) = 23 × 8571 × 31 × 51 × 2291
LCM(6856,6870) = 23550360