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What is the Least Common Multiple of 9577 and 9591?

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 9577 and 9591 is 91853007.

LCM(9577,9591) = 91853007

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Least Common Multiple of 9577 and 9591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9577 and 9591, than apply into the LCM equation.

GCF(9577,9591) = 1
LCM(9577,9591) = ( 9577 × 9591) / 1
LCM(9577,9591) = 91853007 / 1
LCM(9577,9591) = 91853007

Least Common Multiple (LCM) of 9577 and 9591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9577 and 9591. First we will calculate the prime factors of 9577 and 9591.

Prime Factorization of 9577

Prime factors of 9577 are 61, 157. Prime factorization of 9577 in exponential form is:

9577 = 611 × 1571

Prime Factorization of 9591

Prime factors of 9591 are 3, 23, 139. Prime factorization of 9591 in exponential form is:

9591 = 31 × 231 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9577 and 9591.

LCM(9577,9591) = 611 × 1571 × 31 × 231 × 1391
LCM(9577,9591) = 91853007