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What is the Least Common Multiple of 93275 and 93283?

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 93275 and 93283 is 8700971825.

LCM(93275,93283) = 8700971825

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Least Common Multiple of 93275 and 93283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93275 and 93283, than apply into the LCM equation.

GCF(93275,93283) = 1
LCM(93275,93283) = ( 93275 × 93283) / 1
LCM(93275,93283) = 8700971825 / 1
LCM(93275,93283) = 8700971825

Least Common Multiple (LCM) of 93275 and 93283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93275 and 93283. First we will calculate the prime factors of 93275 and 93283.

Prime Factorization of 93275

Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:

93275 = 52 × 71 × 131 × 411

Prime Factorization of 93283

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

93283 = 932831

Now multiplying the highest exponent prime factors to calculate the LCM of 93275 and 93283.

LCM(93275,93283) = 52 × 71 × 131 × 411 × 932831
LCM(93275,93283) = 8700971825