GCF and LCM Calculator Logo

What is the Least Common Multiple of 6802 and 6812?

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 6802 and 6812 is 23167612.

LCM(6802,6812) = 23167612

LCM Calculator and
and

Least Common Multiple of 6802 and 6812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6802 and 6812, than apply into the LCM equation.

GCF(6802,6812) = 2
LCM(6802,6812) = ( 6802 × 6812) / 2
LCM(6802,6812) = 46335224 / 2
LCM(6802,6812) = 23167612

Least Common Multiple (LCM) of 6802 and 6812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6802 and 6812. First we will calculate the prime factors of 6802 and 6812.

Prime Factorization of 6802

Prime factors of 6802 are 2, 19, 179. Prime factorization of 6802 in exponential form is:

6802 = 21 × 191 × 1791

Prime Factorization of 6812

Prime factors of 6812 are 2, 13, 131. Prime factorization of 6812 in exponential form is:

6812 = 22 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6802 and 6812.

LCM(6802,6812) = 22 × 191 × 1791 × 131 × 1311
LCM(6802,6812) = 23167612