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What is the Least Common Multiple of 93887 and 93899?

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 93887 and 93899 is 8815895413.

LCM(93887,93899) = 8815895413

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Least Common Multiple of 93887 and 93899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93887 and 93899, than apply into the LCM equation.

GCF(93887,93899) = 1
LCM(93887,93899) = ( 93887 × 93899) / 1
LCM(93887,93899) = 8815895413 / 1
LCM(93887,93899) = 8815895413

Least Common Multiple (LCM) of 93887 and 93899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93887 and 93899. First we will calculate the prime factors of 93887 and 93899.

Prime Factorization of 93887

Prime factors of 93887 are 93887. Prime factorization of 93887 in exponential form is:

93887 = 938871

Prime Factorization of 93899

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

93899 = 131 × 311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 93887 and 93899.

LCM(93887,93899) = 938871 × 131 × 311 × 2331
LCM(93887,93899) = 8815895413