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What is the Least Common Multiple of 11509 and 11517?

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 11509 and 11517 is 132549153.

LCM(11509,11517) = 132549153

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Least Common Multiple of 11509 and 11517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11509 and 11517, than apply into the LCM equation.

GCF(11509,11517) = 1
LCM(11509,11517) = ( 11509 × 11517) / 1
LCM(11509,11517) = 132549153 / 1
LCM(11509,11517) = 132549153

Least Common Multiple (LCM) of 11509 and 11517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11509 and 11517. First we will calculate the prime factors of 11509 and 11517.

Prime Factorization of 11509

Prime factors of 11509 are 17, 677. Prime factorization of 11509 in exponential form is:

11509 = 171 × 6771

Prime Factorization of 11517

Prime factors of 11517 are 3, 11, 349. Prime factorization of 11517 in exponential form is:

11517 = 31 × 111 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 11509 and 11517.

LCM(11509,11517) = 171 × 6771 × 31 × 111 × 3491
LCM(11509,11517) = 132549153