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What is the Least Common Multiple of 6327 and 6341?

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 6327 and 6341 is 40119507.

LCM(6327,6341) = 40119507

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Least Common Multiple of 6327 and 6341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6327 and 6341, than apply into the LCM equation.

GCF(6327,6341) = 1
LCM(6327,6341) = ( 6327 × 6341) / 1
LCM(6327,6341) = 40119507 / 1
LCM(6327,6341) = 40119507

Least Common Multiple (LCM) of 6327 and 6341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6327 and 6341. First we will calculate the prime factors of 6327 and 6341.

Prime Factorization of 6327

Prime factors of 6327 are 3, 19, 37. Prime factorization of 6327 in exponential form is:

6327 = 32 × 191 × 371

Prime Factorization of 6341

Prime factors of 6341 are 17, 373. Prime factorization of 6341 in exponential form is:

6341 = 171 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 6327 and 6341.

LCM(6327,6341) = 32 × 191 × 371 × 171 × 3731
LCM(6327,6341) = 40119507