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What is the Least Common Multiple of 6822 and 6838?

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 6822 and 6838 is 23324418.

LCM(6822,6838) = 23324418

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Least Common Multiple of 6822 and 6838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6822 and 6838, than apply into the LCM equation.

GCF(6822,6838) = 2
LCM(6822,6838) = ( 6822 × 6838) / 2
LCM(6822,6838) = 46648836 / 2
LCM(6822,6838) = 23324418

Least Common Multiple (LCM) of 6822 and 6838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6822 and 6838. First we will calculate the prime factors of 6822 and 6838.

Prime Factorization of 6822

Prime factors of 6822 are 2, 3, 379. Prime factorization of 6822 in exponential form is:

6822 = 21 × 32 × 3791

Prime Factorization of 6838

Prime factors of 6838 are 2, 13, 263. Prime factorization of 6838 in exponential form is:

6838 = 21 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 6822 and 6838.

LCM(6822,6838) = 21 × 32 × 3791 × 131 × 2631
LCM(6822,6838) = 23324418