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What is the Least Common Multiple of 8309 and 8328?

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 8309 and 8328 is 69197352.

LCM(8309,8328) = 69197352

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Least Common Multiple of 8309 and 8328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8328, than apply into the LCM equation.

GCF(8309,8328) = 1
LCM(8309,8328) = ( 8309 × 8328) / 1
LCM(8309,8328) = 69197352 / 1
LCM(8309,8328) = 69197352

Least Common Multiple (LCM) of 8309 and 8328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8328. First we will calculate the prime factors of 8309 and 8328.

Prime Factorization of 8309

Prime factors of 8309 are 7, 1187. Prime factorization of 8309 in exponential form is:

8309 = 71 × 11871

Prime Factorization of 8328

Prime factors of 8328 are 2, 3, 347. Prime factorization of 8328 in exponential form is:

8328 = 23 × 31 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8328.

LCM(8309,8328) = 71 × 11871 × 23 × 31 × 3471
LCM(8309,8328) = 69197352