GCF and LCM Calculator Logo

What is the Least Common Multiple of 6704 and 6709?

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 6704 and 6709 is 44977136.

LCM(6704,6709) = 44977136

LCM Calculator and
and

Least Common Multiple of 6704 and 6709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6704 and 6709, than apply into the LCM equation.

GCF(6704,6709) = 1
LCM(6704,6709) = ( 6704 × 6709) / 1
LCM(6704,6709) = 44977136 / 1
LCM(6704,6709) = 44977136

Least Common Multiple (LCM) of 6704 and 6709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6704 and 6709. First we will calculate the prime factors of 6704 and 6709.

Prime Factorization of 6704

Prime factors of 6704 are 2, 419. Prime factorization of 6704 in exponential form is:

6704 = 24 × 4191

Prime Factorization of 6709

Prime factors of 6709 are 6709. Prime factorization of 6709 in exponential form is:

6709 = 67091

Now multiplying the highest exponent prime factors to calculate the LCM of 6704 and 6709.

LCM(6704,6709) = 24 × 4191 × 67091
LCM(6704,6709) = 44977136