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What is the Least Common Multiple of 16828 and 16841?

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 16828 and 16841 is 283400348.

LCM(16828,16841) = 283400348

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Least Common Multiple of 16828 and 16841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16828 and 16841, than apply into the LCM equation.

GCF(16828,16841) = 1
LCM(16828,16841) = ( 16828 × 16841) / 1
LCM(16828,16841) = 283400348 / 1
LCM(16828,16841) = 283400348

Least Common Multiple (LCM) of 16828 and 16841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16828 and 16841. First we will calculate the prime factors of 16828 and 16841.

Prime Factorization of 16828

Prime factors of 16828 are 2, 7, 601. Prime factorization of 16828 in exponential form is:

16828 = 22 × 71 × 6011

Prime Factorization of 16841

Prime factors of 16841 are 11, 1531. Prime factorization of 16841 in exponential form is:

16841 = 111 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 16828 and 16841.

LCM(16828,16841) = 22 × 71 × 6011 × 111 × 15311
LCM(16828,16841) = 283400348