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What is the Least Common Multiple of 6813 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 6813 and 6833 is 46553229.

LCM(6813,6833) = 46553229

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Least Common Multiple of 6813 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 6813 and 6833, than apply into the LCM equation.

GCF(6813,6833) = 1
LCM(6813,6833) = ( 6813 × 6833) / 1
LCM(6813,6833) = 46553229 / 1
LCM(6813,6833) = 46553229

Least Common Multiple (LCM) of 6813 and 6833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6813 and 6833. First we will calculate the prime factors of 6813 and 6833.

Prime Factorization of 6813

Prime factors of 6813 are 3, 757. Prime factorization of 6813 in exponential form is:

6813 = 32 × 7571

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 6813 and 6833.

LCM(6813,6833) = 32 × 7571 × 68331
LCM(6813,6833) = 46553229