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What is the Least Common Multiple of 38309 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 38309 and 38323 is 1468115807.

LCM(38309,38323) = 1468115807

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Least Common Multiple of 38309 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 38309 and 38323, than apply into the LCM equation.

GCF(38309,38323) = 1
LCM(38309,38323) = ( 38309 × 38323) / 1
LCM(38309,38323) = 1468115807 / 1
LCM(38309,38323) = 1468115807

Least Common Multiple (LCM) of 38309 and 38323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38309 and 38323. First we will calculate the prime factors of 38309 and 38323.

Prime Factorization of 38309

Prime factors of 38309 are 29, 1321. Prime factorization of 38309 in exponential form is:

38309 = 291 × 13211

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 38309 and 38323.

LCM(38309,38323) = 291 × 13211 × 191 × 20171
LCM(38309,38323) = 1468115807