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What is the Least Common Multiple of 8545 and 8559?

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 8545 and 8559 is 73136655.

LCM(8545,8559) = 73136655

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Least Common Multiple of 8545 and 8559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8545 and 8559, than apply into the LCM equation.

GCF(8545,8559) = 1
LCM(8545,8559) = ( 8545 × 8559) / 1
LCM(8545,8559) = 73136655 / 1
LCM(8545,8559) = 73136655

Least Common Multiple (LCM) of 8545 and 8559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8545 and 8559. First we will calculate the prime factors of 8545 and 8559.

Prime Factorization of 8545

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

8545 = 51 × 17091

Prime Factorization of 8559

Prime factors of 8559 are 3, 317. Prime factorization of 8559 in exponential form is:

8559 = 33 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 8545 and 8559.

LCM(8545,8559) = 51 × 17091 × 33 × 3171
LCM(8545,8559) = 73136655