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What is the Least Common Multiple of 93677 and 93683?

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 93677 and 93683 is 8775942391.

LCM(93677,93683) = 8775942391

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Least Common Multiple of 93677 and 93683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93677 and 93683, than apply into the LCM equation.

GCF(93677,93683) = 1
LCM(93677,93683) = ( 93677 × 93683) / 1
LCM(93677,93683) = 8775942391 / 1
LCM(93677,93683) = 8775942391

Least Common Multiple (LCM) of 93677 and 93683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93677 and 93683. First we will calculate the prime factors of 93677 and 93683.

Prime Factorization of 93677

Prime factors of 93677 are 113, 829. Prime factorization of 93677 in exponential form is:

93677 = 1131 × 8291

Prime Factorization of 93683

Prime factors of 93683 are 93683. Prime factorization of 93683 in exponential form is:

93683 = 936831

Now multiplying the highest exponent prime factors to calculate the LCM of 93677 and 93683.

LCM(93677,93683) = 1131 × 8291 × 936831
LCM(93677,93683) = 8775942391