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What is the Least Common Multiple of 16822 and 16839?

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 16822 and 16839 is 283265658.

LCM(16822,16839) = 283265658

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Least Common Multiple of 16822 and 16839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16822 and 16839, than apply into the LCM equation.

GCF(16822,16839) = 1
LCM(16822,16839) = ( 16822 × 16839) / 1
LCM(16822,16839) = 283265658 / 1
LCM(16822,16839) = 283265658

Least Common Multiple (LCM) of 16822 and 16839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16822 and 16839. First we will calculate the prime factors of 16822 and 16839.

Prime Factorization of 16822

Prime factors of 16822 are 2, 13, 647. Prime factorization of 16822 in exponential form is:

16822 = 21 × 131 × 6471

Prime Factorization of 16839

Prime factors of 16839 are 3, 1871. Prime factorization of 16839 in exponential form is:

16839 = 32 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 16822 and 16839.

LCM(16822,16839) = 21 × 131 × 6471 × 32 × 18711
LCM(16822,16839) = 283265658