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What is the Least Common Multiple of 11505 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 11505 and 11517 is 44167695.

LCM(11505,11517) = 44167695

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Least Common Multiple of 11505 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 11505 and 11517, than apply into the LCM equation.

GCF(11505,11517) = 3
LCM(11505,11517) = ( 11505 × 11517) / 3
LCM(11505,11517) = 132503085 / 3
LCM(11505,11517) = 44167695

Least Common Multiple (LCM) of 11505 and 11517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11505 and 11517. First we will calculate the prime factors of 11505 and 11517.

Prime Factorization of 11505

Prime factors of 11505 are 3, 5, 13, 59. Prime factorization of 11505 in exponential form is:

11505 = 31 × 51 × 131 × 591

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 11505 and 11517.

LCM(11505,11517) = 31 × 51 × 131 × 591 × 111 × 3491
LCM(11505,11517) = 44167695