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What is the Least Common Multiple of 29327 and 29347?

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 29327 and 29347 is 860659469.

LCM(29327,29347) = 860659469

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Least Common Multiple of 29327 and 29347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29327 and 29347, than apply into the LCM equation.

GCF(29327,29347) = 1
LCM(29327,29347) = ( 29327 × 29347) / 1
LCM(29327,29347) = 860659469 / 1
LCM(29327,29347) = 860659469

Least Common Multiple (LCM) of 29327 and 29347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29327 and 29347. First we will calculate the prime factors of 29327 and 29347.

Prime Factorization of 29327

Prime factors of 29327 are 29327. Prime factorization of 29327 in exponential form is:

29327 = 293271

Prime Factorization of 29347

Prime factors of 29347 are 29347. Prime factorization of 29347 in exponential form is:

29347 = 293471

Now multiplying the highest exponent prime factors to calculate the LCM of 29327 and 29347.

LCM(29327,29347) = 293271 × 293471
LCM(29327,29347) = 860659469