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What is the Least Common Multiple of 93587 and 93591?

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 93587 and 93591 is 8758900917.

LCM(93587,93591) = 8758900917

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Least Common Multiple of 93587 and 93591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93587 and 93591, than apply into the LCM equation.

GCF(93587,93591) = 1
LCM(93587,93591) = ( 93587 × 93591) / 1
LCM(93587,93591) = 8758900917 / 1
LCM(93587,93591) = 8758900917

Least Common Multiple (LCM) of 93587 and 93591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93587 and 93591. First we will calculate the prime factors of 93587 and 93591.

Prime Factorization of 93587

Prime factors of 93587 are 13, 23, 313. Prime factorization of 93587 in exponential form is:

93587 = 131 × 231 × 3131

Prime Factorization of 93591

Prime factors of 93591 are 3, 10399. Prime factorization of 93591 in exponential form is:

93591 = 32 × 103991

Now multiplying the highest exponent prime factors to calculate the LCM of 93587 and 93591.

LCM(93587,93591) = 131 × 231 × 3131 × 32 × 103991
LCM(93587,93591) = 8758900917