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What is the Least Common Multiple of 6573 and 6588?

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 6573 and 6588 is 14434308.

LCM(6573,6588) = 14434308

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Least Common Multiple of 6573 and 6588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6573 and 6588, than apply into the LCM equation.

GCF(6573,6588) = 3
LCM(6573,6588) = ( 6573 × 6588) / 3
LCM(6573,6588) = 43302924 / 3
LCM(6573,6588) = 14434308

Least Common Multiple (LCM) of 6573 and 6588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6573 and 6588. First we will calculate the prime factors of 6573 and 6588.

Prime Factorization of 6573

Prime factors of 6573 are 3, 7, 313. Prime factorization of 6573 in exponential form is:

6573 = 31 × 71 × 3131

Prime Factorization of 6588

Prime factors of 6588 are 2, 3, 61. Prime factorization of 6588 in exponential form is:

6588 = 22 × 33 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6573 and 6588.

LCM(6573,6588) = 33 × 71 × 3131 × 22 × 611
LCM(6573,6588) = 14434308