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What is the Least Common Multiple of 6339 and 6343?

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 6339 and 6343 is 40208277.

LCM(6339,6343) = 40208277

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Least Common Multiple of 6339 and 6343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6339 and 6343, than apply into the LCM equation.

GCF(6339,6343) = 1
LCM(6339,6343) = ( 6339 × 6343) / 1
LCM(6339,6343) = 40208277 / 1
LCM(6339,6343) = 40208277

Least Common Multiple (LCM) of 6339 and 6343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6339 and 6343. First we will calculate the prime factors of 6339 and 6343.

Prime Factorization of 6339

Prime factors of 6339 are 3, 2113. Prime factorization of 6339 in exponential form is:

6339 = 31 × 21131

Prime Factorization of 6343

Prime factors of 6343 are 6343. Prime factorization of 6343 in exponential form is:

6343 = 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 6339 and 6343.

LCM(6339,6343) = 31 × 21131 × 63431
LCM(6339,6343) = 40208277