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What is the Least Common Multiple of 6285 and 6299?

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 6285 and 6299 is 39589215.

LCM(6285,6299) = 39589215

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Least Common Multiple of 6285 and 6299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6285 and 6299, than apply into the LCM equation.

GCF(6285,6299) = 1
LCM(6285,6299) = ( 6285 × 6299) / 1
LCM(6285,6299) = 39589215 / 1
LCM(6285,6299) = 39589215

Least Common Multiple (LCM) of 6285 and 6299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6285 and 6299. First we will calculate the prime factors of 6285 and 6299.

Prime Factorization of 6285

Prime factors of 6285 are 3, 5, 419. Prime factorization of 6285 in exponential form is:

6285 = 31 × 51 × 4191

Prime Factorization of 6299

Prime factors of 6299 are 6299. Prime factorization of 6299 in exponential form is:

6299 = 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 6285 and 6299.

LCM(6285,6299) = 31 × 51 × 4191 × 62991
LCM(6285,6299) = 39589215