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What is the Least Common Multiple of 6564 and 6568?

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 6564 and 6568 is 10778088.

LCM(6564,6568) = 10778088

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Least Common Multiple of 6564 and 6568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6568, than apply into the LCM equation.

GCF(6564,6568) = 4
LCM(6564,6568) = ( 6564 × 6568) / 4
LCM(6564,6568) = 43112352 / 4
LCM(6564,6568) = 10778088

Least Common Multiple (LCM) of 6564 and 6568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6568. First we will calculate the prime factors of 6564 and 6568.

Prime Factorization of 6564

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

6564 = 22 × 31 × 5471

Prime Factorization of 6568

Prime factors of 6568 are 2, 821. Prime factorization of 6568 in exponential form is:

6568 = 23 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6568.

LCM(6564,6568) = 23 × 31 × 5471 × 8211
LCM(6564,6568) = 10778088