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What is the Least Common Multiple of 93899 and 93903?

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 93903 is 8817397797.

LCM(93899,93903) = 8817397797

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Least Common Multiple of 93899 and 93903 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 93903, than apply into the LCM equation.

GCF(93899,93903) = 1
LCM(93899,93903) = ( 93899 × 93903) / 1
LCM(93899,93903) = 8817397797 / 1
LCM(93899,93903) = 8817397797

Least Common Multiple (LCM) of 93899 and 93903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93899 and 93903. First we will calculate the prime factors of 93899 and 93903.

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 93903

Prime factors of 93903 are 3, 113, 277. Prime factorization of 93903 in exponential form is:

93903 = 31 × 1131 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 93899 and 93903.

LCM(93899,93903) = 131 × 311 × 2331 × 31 × 1131 × 2771
LCM(93899,93903) = 8817397797