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What is the Least Common Multiple of 9395 and 9399?

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 9395 and 9399 is 88303605.

LCM(9395,9399) = 88303605

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Least Common Multiple of 9395 and 9399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9395 and 9399, than apply into the LCM equation.

GCF(9395,9399) = 1
LCM(9395,9399) = ( 9395 × 9399) / 1
LCM(9395,9399) = 88303605 / 1
LCM(9395,9399) = 88303605

Least Common Multiple (LCM) of 9395 and 9399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9395 and 9399. First we will calculate the prime factors of 9395 and 9399.

Prime Factorization of 9395

Prime factors of 9395 are 5, 1879. Prime factorization of 9395 in exponential form is:

9395 = 51 × 18791

Prime Factorization of 9399

Prime factors of 9399 are 3, 13, 241. Prime factorization of 9399 in exponential form is:

9399 = 31 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9395 and 9399.

LCM(9395,9399) = 51 × 18791 × 31 × 131 × 2411
LCM(9395,9399) = 88303605