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What is the Least Common Multiple of 6317 and 6326?

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 6317 and 6326 is 39961342.

LCM(6317,6326) = 39961342

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Least Common Multiple of 6317 and 6326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6317 and 6326, than apply into the LCM equation.

GCF(6317,6326) = 1
LCM(6317,6326) = ( 6317 × 6326) / 1
LCM(6317,6326) = 39961342 / 1
LCM(6317,6326) = 39961342

Least Common Multiple (LCM) of 6317 and 6326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6317 and 6326. First we will calculate the prime factors of 6317 and 6326.

Prime Factorization of 6317

Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:

6317 = 63171

Prime Factorization of 6326

Prime factors of 6326 are 2, 3163. Prime factorization of 6326 in exponential form is:

6326 = 21 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 6317 and 6326.

LCM(6317,6326) = 63171 × 21 × 31631
LCM(6317,6326) = 39961342