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What is the Least Common Multiple of 6329 and 6345?

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 6345 is 40157505.

LCM(6329,6345) = 40157505

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Least Common Multiple of 6329 and 6345 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 6345, than apply into the LCM equation.

GCF(6329,6345) = 1
LCM(6329,6345) = ( 6329 × 6345) / 1
LCM(6329,6345) = 40157505 / 1
LCM(6329,6345) = 40157505

Least Common Multiple (LCM) of 6329 and 6345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6329 and 6345. First we will calculate the prime factors of 6329 and 6345.

Prime Factorization of 6329

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

6329 = 63291

Prime Factorization of 6345

Prime factors of 6345 are 3, 5, 47. Prime factorization of 6345 in exponential form is:

6345 = 33 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6329 and 6345.

LCM(6329,6345) = 63291 × 33 × 51 × 471
LCM(6329,6345) = 40157505