GCF and LCM Calculator Logo

What is the Least Common Multiple of 6821 and 6837?

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 6821 and 6837 is 46635177.

LCM(6821,6837) = 46635177

LCM Calculator and
and

Least Common Multiple of 6821 and 6837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6837, than apply into the LCM equation.

GCF(6821,6837) = 1
LCM(6821,6837) = ( 6821 × 6837) / 1
LCM(6821,6837) = 46635177 / 1
LCM(6821,6837) = 46635177

Least Common Multiple (LCM) of 6821 and 6837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6837. First we will calculate the prime factors of 6821 and 6837.

Prime Factorization of 6821

Prime factors of 6821 are 19, 359. Prime factorization of 6821 in exponential form is:

6821 = 191 × 3591

Prime Factorization of 6837

Prime factors of 6837 are 3, 43, 53. Prime factorization of 6837 in exponential form is:

6837 = 31 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6837.

LCM(6821,6837) = 191 × 3591 × 31 × 431 × 531
LCM(6821,6837) = 46635177