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What is the Least Common Multiple of 8517 and 8534?

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 8517 and 8534 is 4275534.

LCM(8517,8534) = 4275534

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Least Common Multiple of 8517 and 8534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8517 and 8534, than apply into the LCM equation.

GCF(8517,8534) = 17
LCM(8517,8534) = ( 8517 × 8534) / 17
LCM(8517,8534) = 72684078 / 17
LCM(8517,8534) = 4275534

Least Common Multiple (LCM) of 8517 and 8534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8517 and 8534. First we will calculate the prime factors of 8517 and 8534.

Prime Factorization of 8517

Prime factors of 8517 are 3, 17, 167. Prime factorization of 8517 in exponential form is:

8517 = 31 × 171 × 1671

Prime Factorization of 8534

Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:

8534 = 21 × 171 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8517 and 8534.

LCM(8517,8534) = 31 × 171 × 1671 × 21 × 2511
LCM(8517,8534) = 4275534