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What is the Least Common Multiple of 6681 and 6695?

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 6681 and 6695 is 44729295.

LCM(6681,6695) = 44729295

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Least Common Multiple of 6681 and 6695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6681 and 6695, than apply into the LCM equation.

GCF(6681,6695) = 1
LCM(6681,6695) = ( 6681 × 6695) / 1
LCM(6681,6695) = 44729295 / 1
LCM(6681,6695) = 44729295

Least Common Multiple (LCM) of 6681 and 6695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6681 and 6695. First we will calculate the prime factors of 6681 and 6695.

Prime Factorization of 6681

Prime factors of 6681 are 3, 17, 131. Prime factorization of 6681 in exponential form is:

6681 = 31 × 171 × 1311

Prime Factorization of 6695

Prime factors of 6695 are 5, 13, 103. Prime factorization of 6695 in exponential form is:

6695 = 51 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6681 and 6695.

LCM(6681,6695) = 31 × 171 × 1311 × 51 × 131 × 1031
LCM(6681,6695) = 44729295