GCF and LCM Calculator Logo

What is the Least Common Multiple of 6829 and 6838?

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 6829 and 6838 is 46696702.

LCM(6829,6838) = 46696702

LCM Calculator and
and

Least Common Multiple of 6829 and 6838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6829 and 6838, than apply into the LCM equation.

GCF(6829,6838) = 1
LCM(6829,6838) = ( 6829 × 6838) / 1
LCM(6829,6838) = 46696702 / 1
LCM(6829,6838) = 46696702

Least Common Multiple (LCM) of 6829 and 6838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6829 and 6838. First we will calculate the prime factors of 6829 and 6838.

Prime Factorization of 6829

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 68291

Prime Factorization of 6838

Prime factors of 6838 are 2, 13, 263. Prime factorization of 6838 in exponential form is:

6838 = 21 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 6829 and 6838.

LCM(6829,6838) = 68291 × 21 × 131 × 2631
LCM(6829,6838) = 46696702