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What is the Least Common Multiple of 16838 and 16843?

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 16838 and 16843 is 283602434.

LCM(16838,16843) = 283602434

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Least Common Multiple of 16838 and 16843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16838 and 16843, than apply into the LCM equation.

GCF(16838,16843) = 1
LCM(16838,16843) = ( 16838 × 16843) / 1
LCM(16838,16843) = 283602434 / 1
LCM(16838,16843) = 283602434

Least Common Multiple (LCM) of 16838 and 16843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16838 and 16843. First we will calculate the prime factors of 16838 and 16843.

Prime Factorization of 16838

Prime factors of 16838 are 2, 8419. Prime factorization of 16838 in exponential form is:

16838 = 21 × 84191

Prime Factorization of 16843

Prime factors of 16843 are 16843. Prime factorization of 16843 in exponential form is:

16843 = 168431

Now multiplying the highest exponent prime factors to calculate the LCM of 16838 and 16843.

LCM(16838,16843) = 21 × 84191 × 168431
LCM(16838,16843) = 283602434