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What is the Least Common Multiple of 6339 and 6345?

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 6345 is 13406985.

LCM(6339,6345) = 13406985

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Least Common Multiple of 6339 and 6345 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 6345, than apply into the LCM equation.

GCF(6339,6345) = 3
LCM(6339,6345) = ( 6339 × 6345) / 3
LCM(6339,6345) = 40220955 / 3
LCM(6339,6345) = 13406985

Least Common Multiple (LCM) of 6339 and 6345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6339 and 6345. First we will calculate the prime factors of 6339 and 6345.

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 6345

Prime factors of 6345 are 3, 5, 47. Prime factorization of 6345 in exponential form is:

6345 = 33 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6339 and 6345.

LCM(6339,6345) = 33 × 21131 × 51 × 471
LCM(6339,6345) = 13406985