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What is the Least Common Multiple of 93889 and 93905?

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 93889 and 93905 is 8816646545.

LCM(93889,93905) = 8816646545

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Least Common Multiple of 93889 and 93905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93889 and 93905, than apply into the LCM equation.

GCF(93889,93905) = 1
LCM(93889,93905) = ( 93889 × 93905) / 1
LCM(93889,93905) = 8816646545 / 1
LCM(93889,93905) = 8816646545

Least Common Multiple (LCM) of 93889 and 93905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93889 and 93905. First we will calculate the prime factors of 93889 and 93905.

Prime Factorization of 93889

Prime factors of 93889 are 93889. Prime factorization of 93889 in exponential form is:

93889 = 938891

Prime Factorization of 93905

Prime factors of 93905 are 5, 7, 2683. Prime factorization of 93905 in exponential form is:

93905 = 51 × 71 × 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 93889 and 93905.

LCM(93889,93905) = 938891 × 51 × 71 × 26831
LCM(93889,93905) = 8816646545