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What is the Least Common Multiple of 9387 and 9404?

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 9387 and 9404 is 88275348.

LCM(9387,9404) = 88275348

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Least Common Multiple of 9387 and 9404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9387 and 9404, than apply into the LCM equation.

GCF(9387,9404) = 1
LCM(9387,9404) = ( 9387 × 9404) / 1
LCM(9387,9404) = 88275348 / 1
LCM(9387,9404) = 88275348

Least Common Multiple (LCM) of 9387 and 9404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9387 and 9404. First we will calculate the prime factors of 9387 and 9404.

Prime Factorization of 9387

Prime factors of 9387 are 3, 7, 149. Prime factorization of 9387 in exponential form is:

9387 = 32 × 71 × 1491

Prime Factorization of 9404

Prime factors of 9404 are 2, 2351. Prime factorization of 9404 in exponential form is:

9404 = 22 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 9387 and 9404.

LCM(9387,9404) = 32 × 71 × 1491 × 22 × 23511
LCM(9387,9404) = 88275348