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What is the Least Common Multiple of 16283 and 16293?

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 16283 and 16293 is 265298919.

LCM(16283,16293) = 265298919

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Least Common Multiple of 16283 and 16293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16283 and 16293, than apply into the LCM equation.

GCF(16283,16293) = 1
LCM(16283,16293) = ( 16283 × 16293) / 1
LCM(16283,16293) = 265298919 / 1
LCM(16283,16293) = 265298919

Least Common Multiple (LCM) of 16283 and 16293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16283 and 16293. First we will calculate the prime factors of 16283 and 16293.

Prime Factorization of 16283

Prime factors of 16283 are 19, 857. Prime factorization of 16283 in exponential form is:

16283 = 191 × 8571

Prime Factorization of 16293

Prime factors of 16293 are 3, 5431. Prime factorization of 16293 in exponential form is:

16293 = 31 × 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 16283 and 16293.

LCM(16283,16293) = 191 × 8571 × 31 × 54311
LCM(16283,16293) = 265298919