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What is the Least Common Multiple of 6282 and 6297?

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 6282 and 6297 is 13185918.

LCM(6282,6297) = 13185918

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Least Common Multiple of 6282 and 6297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6282 and 6297, than apply into the LCM equation.

GCF(6282,6297) = 3
LCM(6282,6297) = ( 6282 × 6297) / 3
LCM(6282,6297) = 39557754 / 3
LCM(6282,6297) = 13185918

Least Common Multiple (LCM) of 6282 and 6297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6282 and 6297. First we will calculate the prime factors of 6282 and 6297.

Prime Factorization of 6282

Prime factors of 6282 are 2, 3, 349. Prime factorization of 6282 in exponential form is:

6282 = 21 × 32 × 3491

Prime Factorization of 6297

Prime factors of 6297 are 3, 2099. Prime factorization of 6297 in exponential form is:

6297 = 31 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 6282 and 6297.

LCM(6282,6297) = 21 × 32 × 3491 × 20991
LCM(6282,6297) = 13185918