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What is the Least Common Multiple of 9589 and 9599?

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 9589 and 9599 is 92044811.

LCM(9589,9599) = 92044811

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Least Common Multiple of 9589 and 9599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9589 and 9599, than apply into the LCM equation.

GCF(9589,9599) = 1
LCM(9589,9599) = ( 9589 × 9599) / 1
LCM(9589,9599) = 92044811 / 1
LCM(9589,9599) = 92044811

Least Common Multiple (LCM) of 9589 and 9599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9599. First we will calculate the prime factors of 9589 and 9599.

Prime Factorization of 9589

Prime factors of 9589 are 43, 223. Prime factorization of 9589 in exponential form is:

9589 = 431 × 2231

Prime Factorization of 9599

Prime factors of 9599 are 29, 331. Prime factorization of 9599 in exponential form is:

9599 = 291 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9599.

LCM(9589,9599) = 431 × 2231 × 291 × 3311
LCM(9589,9599) = 92044811