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What is the Least Common Multiple of 8516 and 8533?

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 8516 and 8533 is 72667028.

LCM(8516,8533) = 72667028

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Least Common Multiple of 8516 and 8533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8516 and 8533, than apply into the LCM equation.

GCF(8516,8533) = 1
LCM(8516,8533) = ( 8516 × 8533) / 1
LCM(8516,8533) = 72667028 / 1
LCM(8516,8533) = 72667028

Least Common Multiple (LCM) of 8516 and 8533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8516 and 8533. First we will calculate the prime factors of 8516 and 8533.

Prime Factorization of 8516

Prime factors of 8516 are 2, 2129. Prime factorization of 8516 in exponential form is:

8516 = 22 × 21291

Prime Factorization of 8533

Prime factors of 8533 are 7, 23, 53. Prime factorization of 8533 in exponential form is:

8533 = 71 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8516 and 8533.

LCM(8516,8533) = 22 × 21291 × 71 × 231 × 531
LCM(8516,8533) = 72667028