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What is the Least Common Multiple of 16269 and 16286?

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 16269 and 16286 is 15585702.

LCM(16269,16286) = 15585702

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Least Common Multiple of 16269 and 16286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16269 and 16286, than apply into the LCM equation.

GCF(16269,16286) = 17
LCM(16269,16286) = ( 16269 × 16286) / 17
LCM(16269,16286) = 264956934 / 17
LCM(16269,16286) = 15585702

Least Common Multiple (LCM) of 16269 and 16286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16269 and 16286. First we will calculate the prime factors of 16269 and 16286.

Prime Factorization of 16269

Prime factors of 16269 are 3, 11, 17, 29. Prime factorization of 16269 in exponential form is:

16269 = 31 × 111 × 171 × 291

Prime Factorization of 16286

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

16286 = 21 × 171 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 16269 and 16286.

LCM(16269,16286) = 31 × 111 × 171 × 291 × 21 × 4791
LCM(16269,16286) = 15585702