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What is the Least Common Multiple of 17295 and 17303?

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 17295 and 17303 is 299255385.

LCM(17295,17303) = 299255385

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Least Common Multiple of 17295 and 17303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17295 and 17303, than apply into the LCM equation.

GCF(17295,17303) = 1
LCM(17295,17303) = ( 17295 × 17303) / 1
LCM(17295,17303) = 299255385 / 1
LCM(17295,17303) = 299255385

Least Common Multiple (LCM) of 17295 and 17303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17295 and 17303. First we will calculate the prime factors of 17295 and 17303.

Prime Factorization of 17295

Prime factors of 17295 are 3, 5, 1153. Prime factorization of 17295 in exponential form is:

17295 = 31 × 51 × 11531

Prime Factorization of 17303

Prime factors of 17303 are 11, 13. Prime factorization of 17303 in exponential form is:

17303 = 113 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 17295 and 17303.

LCM(17295,17303) = 31 × 51 × 11531 × 113 × 131
LCM(17295,17303) = 299255385