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What is the Least Common Multiple of 8230 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 8230 and 8238 is 33899370.

LCM(8230,8238) = 33899370

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Least Common Multiple of 8230 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 8230 and 8238, than apply into the LCM equation.

GCF(8230,8238) = 2
LCM(8230,8238) = ( 8230 × 8238) / 2
LCM(8230,8238) = 67798740 / 2
LCM(8230,8238) = 33899370

Least Common Multiple (LCM) of 8230 and 8238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8230 and 8238. First we will calculate the prime factors of 8230 and 8238.

Prime Factorization of 8230

Prime factors of 8230 are 2, 5, 823. Prime factorization of 8230 in exponential form is:

8230 = 21 × 51 × 8231

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 8230 and 8238.

LCM(8230,8238) = 21 × 51 × 8231 × 31 × 13731
LCM(8230,8238) = 33899370