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What is the Least Common Multiple of 99383 and 99395?

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 99383 and 99395 is 9878173285.

LCM(99383,99395) = 9878173285

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Least Common Multiple of 99383 and 99395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99383 and 99395, than apply into the LCM equation.

GCF(99383,99395) = 1
LCM(99383,99395) = ( 99383 × 99395) / 1
LCM(99383,99395) = 9878173285 / 1
LCM(99383,99395) = 9878173285

Least Common Multiple (LCM) of 99383 and 99395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99383 and 99395. First we will calculate the prime factors of 99383 and 99395.

Prime Factorization of 99383

Prime factors of 99383 are 23, 29, 149. Prime factorization of 99383 in exponential form is:

99383 = 231 × 291 × 1491

Prime Factorization of 99395

Prime factors of 99395 are 5, 103, 193. Prime factorization of 99395 in exponential form is:

99395 = 51 × 1031 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 99383 and 99395.

LCM(99383,99395) = 231 × 291 × 1491 × 51 × 1031 × 1931
LCM(99383,99395) = 9878173285