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What is the Least Common Multiple of 84337 and 84351?

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 84337 and 84351 is 7113910287.

LCM(84337,84351) = 7113910287

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Least Common Multiple of 84337 and 84351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84337 and 84351, than apply into the LCM equation.

GCF(84337,84351) = 1
LCM(84337,84351) = ( 84337 × 84351) / 1
LCM(84337,84351) = 7113910287 / 1
LCM(84337,84351) = 7113910287

Least Common Multiple (LCM) of 84337 and 84351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84337 and 84351. First we will calculate the prime factors of 84337 and 84351.

Prime Factorization of 84337

Prime factors of 84337 are 11, 17, 41. Prime factorization of 84337 in exponential form is:

84337 = 112 × 171 × 411

Prime Factorization of 84351

Prime factors of 84351 are 3, 31, 907. Prime factorization of 84351 in exponential form is:

84351 = 31 × 311 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 84337 and 84351.

LCM(84337,84351) = 112 × 171 × 411 × 31 × 311 × 9071
LCM(84337,84351) = 7113910287