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What is the Least Common Multiple of 11502 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 11502 and 11517 is 44156178.

LCM(11502,11517) = 44156178

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Least Common Multiple of 11502 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 11502 and 11517, than apply into the LCM equation.

GCF(11502,11517) = 3
LCM(11502,11517) = ( 11502 × 11517) / 3
LCM(11502,11517) = 132468534 / 3
LCM(11502,11517) = 44156178

Least Common Multiple (LCM) of 11502 and 11517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11502 and 11517. First we will calculate the prime factors of 11502 and 11517.

Prime Factorization of 11502

Prime factors of 11502 are 2, 3, 71. Prime factorization of 11502 in exponential form is:

11502 = 21 × 34 × 711

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 11502 and 11517.

LCM(11502,11517) = 21 × 34 × 711 × 111 × 3491
LCM(11502,11517) = 44156178