GCF and LCM Calculator Logo

What is the Least Common Multiple of 6864 and 6880?

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 6864 and 6880 is 2951520.

LCM(6864,6880) = 2951520

LCM Calculator and
and

Least Common Multiple of 6864 and 6880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6864 and 6880, than apply into the LCM equation.

GCF(6864,6880) = 16
LCM(6864,6880) = ( 6864 × 6880) / 16
LCM(6864,6880) = 47224320 / 16
LCM(6864,6880) = 2951520

Least Common Multiple (LCM) of 6864 and 6880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6864 and 6880. First we will calculate the prime factors of 6864 and 6880.

Prime Factorization of 6864

Prime factors of 6864 are 2, 3, 11, 13. Prime factorization of 6864 in exponential form is:

6864 = 24 × 31 × 111 × 131

Prime Factorization of 6880

Prime factors of 6880 are 2, 5, 43. Prime factorization of 6880 in exponential form is:

6880 = 25 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6864 and 6880.

LCM(6864,6880) = 25 × 31 × 111 × 131 × 51 × 431
LCM(6864,6880) = 2951520