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What is the Least Common Multiple of 8547 and 8562?

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 8547 and 8562 is 24393138.

LCM(8547,8562) = 24393138

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Least Common Multiple of 8547 and 8562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8547 and 8562, than apply into the LCM equation.

GCF(8547,8562) = 3
LCM(8547,8562) = ( 8547 × 8562) / 3
LCM(8547,8562) = 73179414 / 3
LCM(8547,8562) = 24393138

Least Common Multiple (LCM) of 8547 and 8562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8547 and 8562. First we will calculate the prime factors of 8547 and 8562.

Prime Factorization of 8547

Prime factors of 8547 are 3, 7, 11, 37. Prime factorization of 8547 in exponential form is:

8547 = 31 × 71 × 111 × 371

Prime Factorization of 8562

Prime factors of 8562 are 2, 3, 1427. Prime factorization of 8562 in exponential form is:

8562 = 21 × 31 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 8547 and 8562.

LCM(8547,8562) = 31 × 71 × 111 × 371 × 21 × 14271
LCM(8547,8562) = 24393138