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What is the Least Common Multiple of 6823 and 6833?

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 6823 and 6833 is 46621559.

LCM(6823,6833) = 46621559

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Least Common Multiple of 6823 and 6833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6823 and 6833, than apply into the LCM equation.

GCF(6823,6833) = 1
LCM(6823,6833) = ( 6823 × 6833) / 1
LCM(6823,6833) = 46621559 / 1
LCM(6823,6833) = 46621559

Least Common Multiple (LCM) of 6823 and 6833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6823 and 6833. First we will calculate the prime factors of 6823 and 6833.

Prime Factorization of 6823

Prime factors of 6823 are 6823. Prime factorization of 6823 in exponential form is:

6823 = 68231

Prime Factorization of 6833

Prime factors of 6833 are 6833. Prime factorization of 6833 in exponential form is:

6833 = 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 6823 and 6833.

LCM(6823,6833) = 68231 × 68331
LCM(6823,6833) = 46621559