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What is the Least Common Multiple of 16819 and 16835?

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 16819 and 16835 is 283147865.

LCM(16819,16835) = 283147865

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Least Common Multiple of 16819 and 16835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16819 and 16835, than apply into the LCM equation.

GCF(16819,16835) = 1
LCM(16819,16835) = ( 16819 × 16835) / 1
LCM(16819,16835) = 283147865 / 1
LCM(16819,16835) = 283147865

Least Common Multiple (LCM) of 16819 and 16835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16819 and 16835. First we will calculate the prime factors of 16819 and 16835.

Prime Factorization of 16819

Prime factors of 16819 are 11, 139. Prime factorization of 16819 in exponential form is:

16819 = 112 × 1391

Prime Factorization of 16835

Prime factors of 16835 are 5, 7, 13, 37. Prime factorization of 16835 in exponential form is:

16835 = 51 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 16819 and 16835.

LCM(16819,16835) = 112 × 1391 × 51 × 71 × 131 × 371
LCM(16819,16835) = 283147865