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What is the Least Common Multiple of 6385 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 6385 and 6405 is 8179185.

LCM(6385,6405) = 8179185

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Least Common Multiple of 6385 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 6385 and 6405, than apply into the LCM equation.

GCF(6385,6405) = 5
LCM(6385,6405) = ( 6385 × 6405) / 5
LCM(6385,6405) = 40895925 / 5
LCM(6385,6405) = 8179185

Least Common Multiple (LCM) of 6385 and 6405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6385 and 6405. First we will calculate the prime factors of 6385 and 6405.

Prime Factorization of 6385

Prime factors of 6385 are 5, 1277. Prime factorization of 6385 in exponential form is:

6385 = 51 × 12771

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 6385 and 6405.

LCM(6385,6405) = 51 × 12771 × 31 × 71 × 611
LCM(6385,6405) = 8179185