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What is the Least Common Multiple of 16297 and 16301?

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 16297 and 16301 is 265657397.

LCM(16297,16301) = 265657397

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Least Common Multiple of 16297 and 16301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16297 and 16301, than apply into the LCM equation.

GCF(16297,16301) = 1
LCM(16297,16301) = ( 16297 × 16301) / 1
LCM(16297,16301) = 265657397 / 1
LCM(16297,16301) = 265657397

Least Common Multiple (LCM) of 16297 and 16301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16297 and 16301. First we will calculate the prime factors of 16297 and 16301.

Prime Factorization of 16297

Prime factors of 16297 are 43, 379. Prime factorization of 16297 in exponential form is:

16297 = 431 × 3791

Prime Factorization of 16301

Prime factors of 16301 are 16301. Prime factorization of 16301 in exponential form is:

16301 = 163011

Now multiplying the highest exponent prime factors to calculate the LCM of 16297 and 16301.

LCM(16297,16301) = 431 × 3791 × 163011
LCM(16297,16301) = 265657397