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What is the Least Common Multiple of 6333 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 6333 and 6345 is 13394295.

LCM(6333,6345) = 13394295

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Least Common Multiple of 6333 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 6333 and 6345, than apply into the LCM equation.

GCF(6333,6345) = 3
LCM(6333,6345) = ( 6333 × 6345) / 3
LCM(6333,6345) = 40182885 / 3
LCM(6333,6345) = 13394295

Least Common Multiple (LCM) of 6333 and 6345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6333 and 6345. First we will calculate the prime factors of 6333 and 6345.

Prime Factorization of 6333

Prime factors of 6333 are 3, 2111. Prime factorization of 6333 in exponential form is:

6333 = 31 × 21111

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 6333 and 6345.

LCM(6333,6345) = 33 × 21111 × 51 × 471
LCM(6333,6345) = 13394295