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What is the Least Common Multiple of 6687 and 6694?

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 6687 and 6694 is 44762778.

LCM(6687,6694) = 44762778

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Least Common Multiple of 6687 and 6694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6687 and 6694, than apply into the LCM equation.

GCF(6687,6694) = 1
LCM(6687,6694) = ( 6687 × 6694) / 1
LCM(6687,6694) = 44762778 / 1
LCM(6687,6694) = 44762778

Least Common Multiple (LCM) of 6687 and 6694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6687 and 6694. First we will calculate the prime factors of 6687 and 6694.

Prime Factorization of 6687

Prime factors of 6687 are 3, 743. Prime factorization of 6687 in exponential form is:

6687 = 32 × 7431

Prime Factorization of 6694

Prime factors of 6694 are 2, 3347. Prime factorization of 6694 in exponential form is:

6694 = 21 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 6687 and 6694.

LCM(6687,6694) = 32 × 7431 × 21 × 33471
LCM(6687,6694) = 44762778