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What is the Least Common Multiple of 6276 and 6294?

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 6276 and 6294 is 6583524.

LCM(6276,6294) = 6583524

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Least Common Multiple of 6276 and 6294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6276 and 6294, than apply into the LCM equation.

GCF(6276,6294) = 6
LCM(6276,6294) = ( 6276 × 6294) / 6
LCM(6276,6294) = 39501144 / 6
LCM(6276,6294) = 6583524

Least Common Multiple (LCM) of 6276 and 6294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6276 and 6294. First we will calculate the prime factors of 6276 and 6294.

Prime Factorization of 6276

Prime factors of 6276 are 2, 3, 523. Prime factorization of 6276 in exponential form is:

6276 = 22 × 31 × 5231

Prime Factorization of 6294

Prime factors of 6294 are 2, 3, 1049. Prime factorization of 6294 in exponential form is:

6294 = 21 × 31 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 6276 and 6294.

LCM(6276,6294) = 22 × 31 × 5231 × 10491
LCM(6276,6294) = 6583524