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What is the Least Common Multiple of 6329 and 6335?

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 6329 and 6335 is 40094215.

LCM(6329,6335) = 40094215

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Least Common Multiple of 6329 and 6335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6329 and 6335, than apply into the LCM equation.

GCF(6329,6335) = 1
LCM(6329,6335) = ( 6329 × 6335) / 1
LCM(6329,6335) = 40094215 / 1
LCM(6329,6335) = 40094215

Least Common Multiple (LCM) of 6329 and 6335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6329 and 6335. First we will calculate the prime factors of 6329 and 6335.

Prime Factorization of 6329

Prime factors of 6329 are 6329. Prime factorization of 6329 in exponential form is:

6329 = 63291

Prime Factorization of 6335

Prime factors of 6335 are 5, 7, 181. Prime factorization of 6335 in exponential form is:

6335 = 51 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6329 and 6335.

LCM(6329,6335) = 63291 × 51 × 71 × 1811
LCM(6329,6335) = 40094215