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What is the Least Common Multiple of 16845 and 16858?

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 16845 and 16858 is 283973010.

LCM(16845,16858) = 283973010

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Least Common Multiple of 16845 and 16858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16845 and 16858, than apply into the LCM equation.

GCF(16845,16858) = 1
LCM(16845,16858) = ( 16845 × 16858) / 1
LCM(16845,16858) = 283973010 / 1
LCM(16845,16858) = 283973010

Least Common Multiple (LCM) of 16845 and 16858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16845 and 16858. First we will calculate the prime factors of 16845 and 16858.

Prime Factorization of 16845

Prime factors of 16845 are 3, 5, 1123. Prime factorization of 16845 in exponential form is:

16845 = 31 × 51 × 11231

Prime Factorization of 16858

Prime factors of 16858 are 2, 8429. Prime factorization of 16858 in exponential form is:

16858 = 21 × 84291

Now multiplying the highest exponent prime factors to calculate the LCM of 16845 and 16858.

LCM(16845,16858) = 31 × 51 × 11231 × 21 × 84291
LCM(16845,16858) = 283973010