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What is the Least Common Multiple of 6667 and 6686?

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 6667 and 6686 is 44575562.

LCM(6667,6686) = 44575562

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Least Common Multiple of 6667 and 6686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6667 and 6686, than apply into the LCM equation.

GCF(6667,6686) = 1
LCM(6667,6686) = ( 6667 × 6686) / 1
LCM(6667,6686) = 44575562 / 1
LCM(6667,6686) = 44575562

Least Common Multiple (LCM) of 6667 and 6686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6667 and 6686. First we will calculate the prime factors of 6667 and 6686.

Prime Factorization of 6667

Prime factors of 6667 are 59, 113. Prime factorization of 6667 in exponential form is:

6667 = 591 × 1131

Prime Factorization of 6686

Prime factors of 6686 are 2, 3343. Prime factorization of 6686 in exponential form is:

6686 = 21 × 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 6667 and 6686.

LCM(6667,6686) = 591 × 1131 × 21 × 33431
LCM(6667,6686) = 44575562