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What is the Least Common Multiple of 93899 and 93909?

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 93899 and 93909 is 8817961191.

LCM(93899,93909) = 8817961191

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Least Common Multiple of 93899 and 93909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93899 and 93909, than apply into the LCM equation.

GCF(93899,93909) = 1
LCM(93899,93909) = ( 93899 × 93909) / 1
LCM(93899,93909) = 8817961191 / 1
LCM(93899,93909) = 8817961191

Least Common Multiple (LCM) of 93899 and 93909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93899 and 93909. First we will calculate the prime factors of 93899 and 93909.

Prime Factorization of 93899

Prime factors of 93899 are 13, 31, 233. Prime factorization of 93899 in exponential form is:

93899 = 131 × 311 × 2331

Prime Factorization of 93909

Prime factors of 93909 are 3, 23, 1361. Prime factorization of 93909 in exponential form is:

93909 = 31 × 231 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 93899 and 93909.

LCM(93899,93909) = 131 × 311 × 2331 × 31 × 231 × 13611
LCM(93899,93909) = 8817961191