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What is the Least Common Multiple of 9285 and 9299?

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 9285 and 9299 is 86341215.

LCM(9285,9299) = 86341215

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Least Common Multiple of 9285 and 9299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9285 and 9299, than apply into the LCM equation.

GCF(9285,9299) = 1
LCM(9285,9299) = ( 9285 × 9299) / 1
LCM(9285,9299) = 86341215 / 1
LCM(9285,9299) = 86341215

Least Common Multiple (LCM) of 9285 and 9299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9299. First we will calculate the prime factors of 9285 and 9299.

Prime Factorization of 9285

Prime factors of 9285 are 3, 5, 619. Prime factorization of 9285 in exponential form is:

9285 = 31 × 51 × 6191

Prime Factorization of 9299

Prime factors of 9299 are 17, 547. Prime factorization of 9299 in exponential form is:

9299 = 171 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9299.

LCM(9285,9299) = 31 × 51 × 6191 × 171 × 5471
LCM(9285,9299) = 86341215