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What is the Least Common Multiple of 8269 and 8284?

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 8269 and 8284 is 68500396.

LCM(8269,8284) = 68500396

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Least Common Multiple of 8269 and 8284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8284, than apply into the LCM equation.

GCF(8269,8284) = 1
LCM(8269,8284) = ( 8269 × 8284) / 1
LCM(8269,8284) = 68500396 / 1
LCM(8269,8284) = 68500396

Least Common Multiple (LCM) of 8269 and 8284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8269 and 8284. First we will calculate the prime factors of 8269 and 8284.

Prime Factorization of 8269

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 82691

Prime Factorization of 8284

Prime factors of 8284 are 2, 19, 109. Prime factorization of 8284 in exponential form is:

8284 = 22 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8284.

LCM(8269,8284) = 82691 × 22 × 191 × 1091
LCM(8269,8284) = 68500396