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What is the Least Common Multiple of 93283 and 93297?

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 93283 and 93297 is 8703024051.

LCM(93283,93297) = 8703024051

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Least Common Multiple of 93283 and 93297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93283 and 93297, than apply into the LCM equation.

GCF(93283,93297) = 1
LCM(93283,93297) = ( 93283 × 93297) / 1
LCM(93283,93297) = 8703024051 / 1
LCM(93283,93297) = 8703024051

Least Common Multiple (LCM) of 93283 and 93297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93283 and 93297. First we will calculate the prime factors of 93283 and 93297.

Prime Factorization of 93283

Prime factors of 93283 are 93283. Prime factorization of 93283 in exponential form is:

93283 = 932831

Prime Factorization of 93297

Prime factors of 93297 are 3, 137, 227. Prime factorization of 93297 in exponential form is:

93297 = 31 × 1371 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 93283 and 93297.

LCM(93283,93297) = 932831 × 31 × 1371 × 2271
LCM(93283,93297) = 8703024051