GCF and LCM Calculator Logo

What is the Least Common Multiple of 6880 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 (LCM) of 6880 and 6896 is 2965280.

LCM(6880,6896) = 2965280

LCM Calculator and
and

Least Common Multiple of 6880 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 6880 and 6896, than apply into the LCM equation.

GCF(6880,6896) = 16
LCM(6880,6896) = ( 6880 × 6896) / 16
LCM(6880,6896) = 47444480 / 16
LCM(6880,6896) = 2965280

Least Common Multiple (LCM) of 6880 and 6896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6896. First we will calculate the prime factors of 6880 and 6896.

Prime Factorization of 6880

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

6880 = 25 × 51 × 431

Prime Factorization of 6896

Prime factors of 6896 are 2, 431. Prime factorization of 6896 in exponential form is:

6896 = 24 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 6880 and 6896.

LCM(6880,6896) = 25 × 51 × 431 × 4311
LCM(6880,6896) = 2965280