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What is the Least Common Multiple of 8559 and 8565?

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 8559 and 8565 is 24435945.

LCM(8559,8565) = 24435945

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Least Common Multiple of 8559 and 8565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8559 and 8565, than apply into the LCM equation.

GCF(8559,8565) = 3
LCM(8559,8565) = ( 8559 × 8565) / 3
LCM(8559,8565) = 73307835 / 3
LCM(8559,8565) = 24435945

Least Common Multiple (LCM) of 8559 and 8565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8559 and 8565. First we will calculate the prime factors of 8559 and 8565.

Prime Factorization of 8559

Prime factors of 8559 are 3, 317. Prime factorization of 8559 in exponential form is:

8559 = 33 × 3171

Prime Factorization of 8565

Prime factors of 8565 are 3, 5, 571. Prime factorization of 8565 in exponential form is:

8565 = 31 × 51 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 8559 and 8565.

LCM(8559,8565) = 33 × 3171 × 51 × 5711
LCM(8559,8565) = 24435945