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What is the Least Common Multiple of 8349 and 8365?

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 8349 and 8365 is 69839385.

LCM(8349,8365) = 69839385

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Least Common Multiple of 8349 and 8365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8349 and 8365, than apply into the LCM equation.

GCF(8349,8365) = 1
LCM(8349,8365) = ( 8349 × 8365) / 1
LCM(8349,8365) = 69839385 / 1
LCM(8349,8365) = 69839385

Least Common Multiple (LCM) of 8349 and 8365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8349 and 8365. First we will calculate the prime factors of 8349 and 8365.

Prime Factorization of 8349

Prime factors of 8349 are 3, 11, 23. Prime factorization of 8349 in exponential form is:

8349 = 31 × 112 × 231

Prime Factorization of 8365

Prime factors of 8365 are 5, 7, 239. Prime factorization of 8365 in exponential form is:

8365 = 51 × 71 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8349 and 8365.

LCM(8349,8365) = 31 × 112 × 231 × 51 × 71 × 2391
LCM(8349,8365) = 69839385