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What is the Least Common Multiple of 16286 and 16297?

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 16286 and 16297 is 265412942.

LCM(16286,16297) = 265412942

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Least Common Multiple of 16286 and 16297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16286 and 16297, than apply into the LCM equation.

GCF(16286,16297) = 1
LCM(16286,16297) = ( 16286 × 16297) / 1
LCM(16286,16297) = 265412942 / 1
LCM(16286,16297) = 265412942

Least Common Multiple (LCM) of 16286 and 16297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16286 and 16297. First we will calculate the prime factors of 16286 and 16297.

Prime Factorization of 16286

Prime factors of 16286 are 2, 17, 479. Prime factorization of 16286 in exponential form is:

16286 = 21 × 171 × 4791

Prime Factorization of 16297

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

16297 = 431 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 16286 and 16297.

LCM(16286,16297) = 21 × 171 × 4791 × 431 × 3791
LCM(16286,16297) = 265412942