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What is the Least Common Multiple of 9512 and 9517?

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 9512 and 9517 is 90525704.

LCM(9512,9517) = 90525704

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Least Common Multiple of 9512 and 9517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9512 and 9517, than apply into the LCM equation.

GCF(9512,9517) = 1
LCM(9512,9517) = ( 9512 × 9517) / 1
LCM(9512,9517) = 90525704 / 1
LCM(9512,9517) = 90525704

Least Common Multiple (LCM) of 9512 and 9517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9512 and 9517. First we will calculate the prime factors of 9512 and 9517.

Prime Factorization of 9512

Prime factors of 9512 are 2, 29, 41. Prime factorization of 9512 in exponential form is:

9512 = 23 × 291 × 411

Prime Factorization of 9517

Prime factors of 9517 are 31, 307. Prime factorization of 9517 in exponential form is:

9517 = 311 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 9512 and 9517.

LCM(9512,9517) = 23 × 291 × 411 × 311 × 3071
LCM(9512,9517) = 90525704