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What is the Least Common Multiple of 16822 and 16838?

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 16838 is 141624418.

LCM(16822,16838) = 141624418

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Least Common Multiple of 16822 and 16838 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 16838, than apply into the LCM equation.

GCF(16822,16838) = 2
LCM(16822,16838) = ( 16822 × 16838) / 2
LCM(16822,16838) = 283248836 / 2
LCM(16822,16838) = 141624418

Least Common Multiple (LCM) of 16822 and 16838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16822 and 16838. First we will calculate the prime factors of 16822 and 16838.

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 16838

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

16838 = 21 × 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 16822 and 16838.

LCM(16822,16838) = 21 × 131 × 6471 × 84191
LCM(16822,16838) = 141624418