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What is the Least Common Multiple of 6682 and 6699?

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 6682 and 6699 is 44762718.

LCM(6682,6699) = 44762718

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Least Common Multiple of 6682 and 6699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6682 and 6699, than apply into the LCM equation.

GCF(6682,6699) = 1
LCM(6682,6699) = ( 6682 × 6699) / 1
LCM(6682,6699) = 44762718 / 1
LCM(6682,6699) = 44762718

Least Common Multiple (LCM) of 6682 and 6699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6682 and 6699. First we will calculate the prime factors of 6682 and 6699.

Prime Factorization of 6682

Prime factors of 6682 are 2, 13, 257. Prime factorization of 6682 in exponential form is:

6682 = 21 × 131 × 2571

Prime Factorization of 6699

Prime factors of 6699 are 3, 7, 11, 29. Prime factorization of 6699 in exponential form is:

6699 = 31 × 71 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6682 and 6699.

LCM(6682,6699) = 21 × 131 × 2571 × 31 × 71 × 111 × 291
LCM(6682,6699) = 44762718