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What is the Least Common Multiple of 8533 and 8545?

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 8533 and 8545 is 72914485.

LCM(8533,8545) = 72914485

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Least Common Multiple of 8533 and 8545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8533 and 8545, than apply into the LCM equation.

GCF(8533,8545) = 1
LCM(8533,8545) = ( 8533 × 8545) / 1
LCM(8533,8545) = 72914485 / 1
LCM(8533,8545) = 72914485

Least Common Multiple (LCM) of 8533 and 8545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8533 and 8545. First we will calculate the prime factors of 8533 and 8545.

Prime Factorization of 8533

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

8533 = 71 × 231 × 531

Prime Factorization of 8545

Prime factors of 8545 are 5, 1709. Prime factorization of 8545 in exponential form is:

8545 = 51 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 8533 and 8545.

LCM(8533,8545) = 71 × 231 × 531 × 51 × 17091
LCM(8533,8545) = 72914485