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What is the Least Common Multiple of 8556 and 8569?

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 8556 and 8569 is 73316364.

LCM(8556,8569) = 73316364

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Least Common Multiple of 8556 and 8569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8556 and 8569, than apply into the LCM equation.

GCF(8556,8569) = 1
LCM(8556,8569) = ( 8556 × 8569) / 1
LCM(8556,8569) = 73316364 / 1
LCM(8556,8569) = 73316364

Least Common Multiple (LCM) of 8556 and 8569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8556 and 8569. First we will calculate the prime factors of 8556 and 8569.

Prime Factorization of 8556

Prime factors of 8556 are 2, 3, 23, 31. Prime factorization of 8556 in exponential form is:

8556 = 22 × 31 × 231 × 311

Prime Factorization of 8569

Prime factors of 8569 are 11, 19, 41. Prime factorization of 8569 in exponential form is:

8569 = 111 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8556 and 8569.

LCM(8556,8569) = 22 × 31 × 231 × 311 × 111 × 191 × 411
LCM(8556,8569) = 73316364