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What is the Least Common Multiple of 16854 and 16859?

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 16854 and 16859 is 284141586.

LCM(16854,16859) = 284141586

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Least Common Multiple of 16854 and 16859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16854 and 16859, than apply into the LCM equation.

GCF(16854,16859) = 1
LCM(16854,16859) = ( 16854 × 16859) / 1
LCM(16854,16859) = 284141586 / 1
LCM(16854,16859) = 284141586

Least Common Multiple (LCM) of 16854 and 16859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16854 and 16859. First we will calculate the prime factors of 16854 and 16859.

Prime Factorization of 16854

Prime factors of 16854 are 2, 3, 53. Prime factorization of 16854 in exponential form is:

16854 = 21 × 31 × 532

Prime Factorization of 16859

Prime factors of 16859 are 23, 733. Prime factorization of 16859 in exponential form is:

16859 = 231 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 16854 and 16859.

LCM(16854,16859) = 21 × 31 × 532 × 231 × 7331
LCM(16854,16859) = 284141586