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What is the Least Common Multiple of 39383 and 39388?

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 39383 and 39388 is 1551217604.

LCM(39383,39388) = 1551217604

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Least Common Multiple of 39383 and 39388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39383 and 39388, than apply into the LCM equation.

GCF(39383,39388) = 1
LCM(39383,39388) = ( 39383 × 39388) / 1
LCM(39383,39388) = 1551217604 / 1
LCM(39383,39388) = 1551217604

Least Common Multiple (LCM) of 39383 and 39388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39383 and 39388. First we will calculate the prime factors of 39383 and 39388.

Prime Factorization of 39383

Prime factors of 39383 are 39383. Prime factorization of 39383 in exponential form is:

39383 = 393831

Prime Factorization of 39388

Prime factors of 39388 are 2, 43, 229. Prime factorization of 39388 in exponential form is:

39388 = 22 × 431 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 39383 and 39388.

LCM(39383,39388) = 393831 × 22 × 431 × 2291
LCM(39383,39388) = 1551217604