GCF and LCM Calculator Logo

What is the Least Common Multiple of 6803 and 6814?

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 6803 and 6814 is 46355642.

LCM(6803,6814) = 46355642

LCM Calculator and
and

Least Common Multiple of 6803 and 6814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6803 and 6814, than apply into the LCM equation.

GCF(6803,6814) = 1
LCM(6803,6814) = ( 6803 × 6814) / 1
LCM(6803,6814) = 46355642 / 1
LCM(6803,6814) = 46355642

Least Common Multiple (LCM) of 6803 and 6814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6803 and 6814. First we will calculate the prime factors of 6803 and 6814.

Prime Factorization of 6803

Prime factors of 6803 are 6803. Prime factorization of 6803 in exponential form is:

6803 = 68031

Prime Factorization of 6814

Prime factors of 6814 are 2, 3407. Prime factorization of 6814 in exponential form is:

6814 = 21 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 6803 and 6814.

LCM(6803,6814) = 68031 × 21 × 34071
LCM(6803,6814) = 46355642