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What is the Least Common Multiple of 6555 and 6564?

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 6555 and 6564 is 14342340.

LCM(6555,6564) = 14342340

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Least Common Multiple of 6555 and 6564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6555 and 6564, than apply into the LCM equation.

GCF(6555,6564) = 3
LCM(6555,6564) = ( 6555 × 6564) / 3
LCM(6555,6564) = 43027020 / 3
LCM(6555,6564) = 14342340

Least Common Multiple (LCM) of 6555 and 6564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6555 and 6564. First we will calculate the prime factors of 6555 and 6564.

Prime Factorization of 6555

Prime factors of 6555 are 3, 5, 19, 23. Prime factorization of 6555 in exponential form is:

6555 = 31 × 51 × 191 × 231

Prime Factorization of 6564

Prime factors of 6564 are 2, 3, 547. Prime factorization of 6564 in exponential form is:

6564 = 22 × 31 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 6555 and 6564.

LCM(6555,6564) = 31 × 51 × 191 × 231 × 22 × 5471
LCM(6555,6564) = 14342340