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What is the Least Common Multiple of 6338 and 6348?

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 6338 and 6348 is 20116812.

LCM(6338,6348) = 20116812

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Least Common Multiple of 6338 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6338 and 6348, than apply into the LCM equation.

GCF(6338,6348) = 2
LCM(6338,6348) = ( 6338 × 6348) / 2
LCM(6338,6348) = 40233624 / 2
LCM(6338,6348) = 20116812

Least Common Multiple (LCM) of 6338 and 6348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6338 and 6348. First we will calculate the prime factors of 6338 and 6348.

Prime Factorization of 6338

Prime factors of 6338 are 2, 3169. Prime factorization of 6338 in exponential form is:

6338 = 21 × 31691

Prime Factorization of 6348

Prime factors of 6348 are 2, 3, 23. Prime factorization of 6348 in exponential form is:

6348 = 22 × 31 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 6338 and 6348.

LCM(6338,6348) = 22 × 31691 × 31 × 232
LCM(6338,6348) = 20116812