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What is the Least Common Multiple of 99391 and 99404?

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 99391 and 99404 is 9879862964.

LCM(99391,99404) = 9879862964

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Least Common Multiple of 99391 and 99404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99391 and 99404, than apply into the LCM equation.

GCF(99391,99404) = 1
LCM(99391,99404) = ( 99391 × 99404) / 1
LCM(99391,99404) = 9879862964 / 1
LCM(99391,99404) = 9879862964

Least Common Multiple (LCM) of 99391 and 99404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99391 and 99404. First we will calculate the prime factors of 99391 and 99404.

Prime Factorization of 99391

Prime factors of 99391 are 99391. Prime factorization of 99391 in exponential form is:

99391 = 993911

Prime Factorization of 99404

Prime factors of 99404 are 2, 24851. Prime factorization of 99404 in exponential form is:

99404 = 22 × 248511

Now multiplying the highest exponent prime factors to calculate the LCM of 99391 and 99404.

LCM(99391,99404) = 993911 × 22 × 248511
LCM(99391,99404) = 9879862964