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What is the Least Common Multiple of 6503 and 6517?

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 6503 and 6517 is 6054293.

LCM(6503,6517) = 6054293

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Least Common Multiple of 6503 and 6517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6503 and 6517, than apply into the LCM equation.

GCF(6503,6517) = 7
LCM(6503,6517) = ( 6503 × 6517) / 7
LCM(6503,6517) = 42380051 / 7
LCM(6503,6517) = 6054293

Least Common Multiple (LCM) of 6503 and 6517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6503 and 6517. First we will calculate the prime factors of 6503 and 6517.

Prime Factorization of 6503

Prime factors of 6503 are 7, 929. Prime factorization of 6503 in exponential form is:

6503 = 71 × 9291

Prime Factorization of 6517

Prime factors of 6517 are 7, 19. Prime factorization of 6517 in exponential form is:

6517 = 73 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6503 and 6517.

LCM(6503,6517) = 73 × 9291 × 191
LCM(6503,6517) = 6054293