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What is the Least Common Multiple of 6729 and 6735?

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 6729 and 6735 is 15106605.

LCM(6729,6735) = 15106605

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Least Common Multiple of 6729 and 6735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6729 and 6735, than apply into the LCM equation.

GCF(6729,6735) = 3
LCM(6729,6735) = ( 6729 × 6735) / 3
LCM(6729,6735) = 45319815 / 3
LCM(6729,6735) = 15106605

Least Common Multiple (LCM) of 6729 and 6735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6729 and 6735. First we will calculate the prime factors of 6729 and 6735.

Prime Factorization of 6729

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

6729 = 31 × 22431

Prime Factorization of 6735

Prime factors of 6735 are 3, 5, 449. Prime factorization of 6735 in exponential form is:

6735 = 31 × 51 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 6729 and 6735.

LCM(6729,6735) = 31 × 22431 × 51 × 4491
LCM(6729,6735) = 15106605