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What is the Least Common Multiple of 93382 and 93397?

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 93382 and 93397 is 8721598654.

LCM(93382,93397) = 8721598654

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Least Common Multiple of 93382 and 93397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93382 and 93397, than apply into the LCM equation.

GCF(93382,93397) = 1
LCM(93382,93397) = ( 93382 × 93397) / 1
LCM(93382,93397) = 8721598654 / 1
LCM(93382,93397) = 8721598654

Least Common Multiple (LCM) of 93382 and 93397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93382 and 93397. First we will calculate the prime factors of 93382 and 93397.

Prime Factorization of 93382

Prime factors of 93382 are 2, 46691. Prime factorization of 93382 in exponential form is:

93382 = 21 × 466911

Prime Factorization of 93397

Prime factors of 93397 are 59, 1583. Prime factorization of 93397 in exponential form is:

93397 = 591 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 93382 and 93397.

LCM(93382,93397) = 21 × 466911 × 591 × 15831
LCM(93382,93397) = 8721598654