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What is the Least Common Multiple of 6288 and 6303?

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 6288 and 6303 is 13211088.

LCM(6288,6303) = 13211088

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Least Common Multiple of 6288 and 6303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6288 and 6303, than apply into the LCM equation.

GCF(6288,6303) = 3
LCM(6288,6303) = ( 6288 × 6303) / 3
LCM(6288,6303) = 39633264 / 3
LCM(6288,6303) = 13211088

Least Common Multiple (LCM) of 6288 and 6303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6288 and 6303. First we will calculate the prime factors of 6288 and 6303.

Prime Factorization of 6288

Prime factors of 6288 are 2, 3, 131. Prime factorization of 6288 in exponential form is:

6288 = 24 × 31 × 1311

Prime Factorization of 6303

Prime factors of 6303 are 3, 11, 191. Prime factorization of 6303 in exponential form is:

6303 = 31 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6288 and 6303.

LCM(6288,6303) = 24 × 31 × 1311 × 111 × 1911
LCM(6288,6303) = 13211088