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What is the Least Common Multiple of 6803 and 6809?

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 6809 is 46321627.

LCM(6803,6809) = 46321627

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Least Common Multiple of 6803 and 6809 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 6809, than apply into the LCM equation.

GCF(6803,6809) = 1
LCM(6803,6809) = ( 6803 × 6809) / 1
LCM(6803,6809) = 46321627 / 1
LCM(6803,6809) = 46321627

Least Common Multiple (LCM) of 6803 and 6809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6803 and 6809. First we will calculate the prime factors of 6803 and 6809.

Prime Factorization of 6803

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

6803 = 68031

Prime Factorization of 6809

Prime factors of 6809 are 11, 619. Prime factorization of 6809 in exponential form is:

6809 = 111 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 6803 and 6809.

LCM(6803,6809) = 68031 × 111 × 6191
LCM(6803,6809) = 46321627