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What is the Least Common Multiple of 8306 and 8322?

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 8306 and 8322 is 34561266.

LCM(8306,8322) = 34561266

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Least Common Multiple of 8306 and 8322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8306 and 8322, than apply into the LCM equation.

GCF(8306,8322) = 2
LCM(8306,8322) = ( 8306 × 8322) / 2
LCM(8306,8322) = 69122532 / 2
LCM(8306,8322) = 34561266

Least Common Multiple (LCM) of 8306 and 8322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8306 and 8322. First we will calculate the prime factors of 8306 and 8322.

Prime Factorization of 8306

Prime factors of 8306 are 2, 4153. Prime factorization of 8306 in exponential form is:

8306 = 21 × 41531

Prime Factorization of 8322

Prime factors of 8322 are 2, 3, 19, 73. Prime factorization of 8322 in exponential form is:

8322 = 21 × 31 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 8306 and 8322.

LCM(8306,8322) = 21 × 41531 × 31 × 191 × 731
LCM(8306,8322) = 34561266