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What is the Least Common Multiple of 93129 and 93142?

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 93129 and 93142 is 8674221318.

LCM(93129,93142) = 8674221318

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Least Common Multiple of 93129 and 93142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93129 and 93142, than apply into the LCM equation.

GCF(93129,93142) = 1
LCM(93129,93142) = ( 93129 × 93142) / 1
LCM(93129,93142) = 8674221318 / 1
LCM(93129,93142) = 8674221318

Least Common Multiple (LCM) of 93129 and 93142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93129 and 93142. First we will calculate the prime factors of 93129 and 93142.

Prime Factorization of 93129

Prime factors of 93129 are 3, 37, 839. Prime factorization of 93129 in exponential form is:

93129 = 31 × 371 × 8391

Prime Factorization of 93142

Prime factors of 93142 are 2, 7, 6653. Prime factorization of 93142 in exponential form is:

93142 = 21 × 71 × 66531

Now multiplying the highest exponent prime factors to calculate the LCM of 93129 and 93142.

LCM(93129,93142) = 31 × 371 × 8391 × 21 × 71 × 66531
LCM(93129,93142) = 8674221318