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What is the Least Common Multiple of 6540 and 6549?

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 6540 and 6549 is 14276820.

LCM(6540,6549) = 14276820

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Least Common Multiple of 6540 and 6549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6540 and 6549, than apply into the LCM equation.

GCF(6540,6549) = 3
LCM(6540,6549) = ( 6540 × 6549) / 3
LCM(6540,6549) = 42830460 / 3
LCM(6540,6549) = 14276820

Least Common Multiple (LCM) of 6540 and 6549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6540 and 6549. First we will calculate the prime factors of 6540 and 6549.

Prime Factorization of 6540

Prime factors of 6540 are 2, 3, 5, 109. Prime factorization of 6540 in exponential form is:

6540 = 22 × 31 × 51 × 1091

Prime Factorization of 6549

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

6549 = 31 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 6540 and 6549.

LCM(6540,6549) = 22 × 31 × 51 × 1091 × 371 × 591
LCM(6540,6549) = 14276820