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What is the Least Common Multiple of 6679 and 6691?

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 6679 and 6691 is 44689189.

LCM(6679,6691) = 44689189

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Least Common Multiple of 6679 and 6691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6679 and 6691, than apply into the LCM equation.

GCF(6679,6691) = 1
LCM(6679,6691) = ( 6679 × 6691) / 1
LCM(6679,6691) = 44689189 / 1
LCM(6679,6691) = 44689189

Least Common Multiple (LCM) of 6679 and 6691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6679 and 6691. First we will calculate the prime factors of 6679 and 6691.

Prime Factorization of 6679

Prime factors of 6679 are 6679. Prime factorization of 6679 in exponential form is:

6679 = 66791

Prime Factorization of 6691

Prime factors of 6691 are 6691. Prime factorization of 6691 in exponential form is:

6691 = 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 6679 and 6691.

LCM(6679,6691) = 66791 × 66911
LCM(6679,6691) = 44689189