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What is the Least Common Multiple of 6553 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 6553 and 6564 is 43013892.

LCM(6553,6564) = 43013892

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Least Common Multiple of 6553 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 6553 and 6564, than apply into the LCM equation.

GCF(6553,6564) = 1
LCM(6553,6564) = ( 6553 × 6564) / 1
LCM(6553,6564) = 43013892 / 1
LCM(6553,6564) = 43013892

Least Common Multiple (LCM) of 6553 and 6564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6553 and 6564. First we will calculate the prime factors of 6553 and 6564.

Prime Factorization of 6553

Prime factors of 6553 are 6553. Prime factorization of 6553 in exponential form is:

6553 = 65531

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 6553 and 6564.

LCM(6553,6564) = 65531 × 22 × 31 × 5471
LCM(6553,6564) = 43013892