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What is the Least Common Multiple of 6384 and 6395?

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 6384 and 6395 is 40825680.

LCM(6384,6395) = 40825680

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Least Common Multiple of 6384 and 6395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6384 and 6395, than apply into the LCM equation.

GCF(6384,6395) = 1
LCM(6384,6395) = ( 6384 × 6395) / 1
LCM(6384,6395) = 40825680 / 1
LCM(6384,6395) = 40825680

Least Common Multiple (LCM) of 6384 and 6395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6384 and 6395. First we will calculate the prime factors of 6384 and 6395.

Prime Factorization of 6384

Prime factors of 6384 are 2, 3, 7, 19. Prime factorization of 6384 in exponential form is:

6384 = 24 × 31 × 71 × 191

Prime Factorization of 6395

Prime factors of 6395 are 5, 1279. Prime factorization of 6395 in exponential form is:

6395 = 51 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 6384 and 6395.

LCM(6384,6395) = 24 × 31 × 71 × 191 × 51 × 12791
LCM(6384,6395) = 40825680