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What is the Least Common Multiple of 6717 and 6729?

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 6717 and 6729 is 15066231.

LCM(6717,6729) = 15066231

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Least Common Multiple of 6717 and 6729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6717 and 6729, than apply into the LCM equation.

GCF(6717,6729) = 3
LCM(6717,6729) = ( 6717 × 6729) / 3
LCM(6717,6729) = 45198693 / 3
LCM(6717,6729) = 15066231

Least Common Multiple (LCM) of 6717 and 6729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6717 and 6729. First we will calculate the prime factors of 6717 and 6729.

Prime Factorization of 6717

Prime factors of 6717 are 3, 2239. Prime factorization of 6717 in exponential form is:

6717 = 31 × 22391

Prime Factorization of 6729

Prime factors of 6729 are 3, 2243. Prime factorization of 6729 in exponential form is:

6729 = 31 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 6717 and 6729.

LCM(6717,6729) = 31 × 22391 × 22431
LCM(6717,6729) = 15066231