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What is the Least Common Multiple of 93823 and 93833?

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 93823 and 93833 is 8803693559.

LCM(93823,93833) = 8803693559

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Least Common Multiple of 93823 and 93833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93823 and 93833, than apply into the LCM equation.

GCF(93823,93833) = 1
LCM(93823,93833) = ( 93823 × 93833) / 1
LCM(93823,93833) = 8803693559 / 1
LCM(93823,93833) = 8803693559

Least Common Multiple (LCM) of 93823 and 93833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93823 and 93833. First we will calculate the prime factors of 93823 and 93833.

Prime Factorization of 93823

Prime factors of 93823 are 17, 5519. Prime factorization of 93823 in exponential form is:

93823 = 171 × 55191

Prime Factorization of 93833

Prime factors of 93833 are 103, 911. Prime factorization of 93833 in exponential form is:

93833 = 1031 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 93823 and 93833.

LCM(93823,93833) = 171 × 55191 × 1031 × 9111
LCM(93823,93833) = 8803693559