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What is the Least Common Multiple of 8238 and 8256?

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 8238 and 8256 is 11335488.

LCM(8238,8256) = 11335488

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Least Common Multiple of 8238 and 8256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8238 and 8256, than apply into the LCM equation.

GCF(8238,8256) = 6
LCM(8238,8256) = ( 8238 × 8256) / 6
LCM(8238,8256) = 68012928 / 6
LCM(8238,8256) = 11335488

Least Common Multiple (LCM) of 8238 and 8256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8238 and 8256. First we will calculate the prime factors of 8238 and 8256.

Prime Factorization of 8238

Prime factors of 8238 are 2, 3, 1373. Prime factorization of 8238 in exponential form is:

8238 = 21 × 31 × 13731

Prime Factorization of 8256

Prime factors of 8256 are 2, 3, 43. Prime factorization of 8256 in exponential form is:

8256 = 26 × 31 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 8238 and 8256.

LCM(8238,8256) = 26 × 31 × 13731 × 431
LCM(8238,8256) = 11335488