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What is the Least Common Multiple of 8218 and 8238?

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 8218 and 8238 is 33849942.

LCM(8218,8238) = 33849942

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Least Common Multiple of 8218 and 8238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8218 and 8238, than apply into the LCM equation.

GCF(8218,8238) = 2
LCM(8218,8238) = ( 8218 × 8238) / 2
LCM(8218,8238) = 67699884 / 2
LCM(8218,8238) = 33849942

Least Common Multiple (LCM) of 8218 and 8238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8238. First we will calculate the prime factors of 8218 and 8238.

Prime Factorization of 8218

Prime factors of 8218 are 2, 7, 587. Prime factorization of 8218 in exponential form is:

8218 = 21 × 71 × 5871

Prime Factorization of 8238

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

8238 = 21 × 31 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8238.

LCM(8218,8238) = 21 × 71 × 5871 × 31 × 13731
LCM(8218,8238) = 33849942