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What is the Least Common Multiple of 6399 and 6405?

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 6399 and 6405 is 13661865.

LCM(6399,6405) = 13661865

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Least Common Multiple of 6399 and 6405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6399 and 6405, than apply into the LCM equation.

GCF(6399,6405) = 3
LCM(6399,6405) = ( 6399 × 6405) / 3
LCM(6399,6405) = 40985595 / 3
LCM(6399,6405) = 13661865

Least Common Multiple (LCM) of 6399 and 6405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6399 and 6405. First we will calculate the prime factors of 6399 and 6405.

Prime Factorization of 6399

Prime factors of 6399 are 3, 79. Prime factorization of 6399 in exponential form is:

6399 = 34 × 791

Prime Factorization of 6405

Prime factors of 6405 are 3, 5, 7, 61. Prime factorization of 6405 in exponential form is:

6405 = 31 × 51 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6399 and 6405.

LCM(6399,6405) = 34 × 791 × 51 × 71 × 611
LCM(6399,6405) = 13661865