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What is the Least Common Multiple of 6549 and 6555?

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 6549 and 6555 is 14309565.

LCM(6549,6555) = 14309565

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Least Common Multiple of 6549 and 6555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6549 and 6555, than apply into the LCM equation.

GCF(6549,6555) = 3
LCM(6549,6555) = ( 6549 × 6555) / 3
LCM(6549,6555) = 42928695 / 3
LCM(6549,6555) = 14309565

Least Common Multiple (LCM) of 6549 and 6555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6549 and 6555. First we will calculate the prime factors of 6549 and 6555.

Prime Factorization of 6549

Prime factors of 6549 are 3, 37, 59. Prime factorization of 6549 in exponential form is:

6549 = 31 × 371 × 591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6549 and 6555.

LCM(6549,6555) = 31 × 371 × 591 × 51 × 191 × 231
LCM(6549,6555) = 14309565