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What is the Least Common Multiple of 28681 and 28686?

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 28681 and 28686 is 822743166.

LCM(28681,28686) = 822743166

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Least Common Multiple of 28681 and 28686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28681 and 28686, than apply into the LCM equation.

GCF(28681,28686) = 1
LCM(28681,28686) = ( 28681 × 28686) / 1
LCM(28681,28686) = 822743166 / 1
LCM(28681,28686) = 822743166

Least Common Multiple (LCM) of 28681 and 28686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28681 and 28686. First we will calculate the prime factors of 28681 and 28686.

Prime Factorization of 28681

Prime factors of 28681 are 23, 29, 43. Prime factorization of 28681 in exponential form is:

28681 = 231 × 291 × 431

Prime Factorization of 28686

Prime factors of 28686 are 2, 3, 7, 683. Prime factorization of 28686 in exponential form is:

28686 = 21 × 31 × 71 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 28681 and 28686.

LCM(28681,28686) = 231 × 291 × 431 × 21 × 31 × 71 × 6831
LCM(28681,28686) = 822743166