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What is the Least Common Multiple of 38305 and 38323?

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 38305 and 38323 is 1467962515.

LCM(38305,38323) = 1467962515

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Least Common Multiple of 38305 and 38323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38305 and 38323, than apply into the LCM equation.

GCF(38305,38323) = 1
LCM(38305,38323) = ( 38305 × 38323) / 1
LCM(38305,38323) = 1467962515 / 1
LCM(38305,38323) = 1467962515

Least Common Multiple (LCM) of 38305 and 38323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38305 and 38323. First we will calculate the prime factors of 38305 and 38323.

Prime Factorization of 38305

Prime factors of 38305 are 5, 47, 163. Prime factorization of 38305 in exponential form is:

38305 = 51 × 471 × 1631

Prime Factorization of 38323

Prime factors of 38323 are 19, 2017. Prime factorization of 38323 in exponential form is:

38323 = 191 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 38305 and 38323.

LCM(38305,38323) = 51 × 471 × 1631 × 191 × 20171
LCM(38305,38323) = 1467962515