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What is the Least Common Multiple of 30631 and 30638?

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 30631 and 30638 is 938472578.

LCM(30631,30638) = 938472578

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Least Common Multiple of 30631 and 30638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30631 and 30638, than apply into the LCM equation.

GCF(30631,30638) = 1
LCM(30631,30638) = ( 30631 × 30638) / 1
LCM(30631,30638) = 938472578 / 1
LCM(30631,30638) = 938472578

Least Common Multiple (LCM) of 30631 and 30638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30631 and 30638. First we will calculate the prime factors of 30631 and 30638.

Prime Factorization of 30631

Prime factors of 30631 are 30631. Prime factorization of 30631 in exponential form is:

30631 = 306311

Prime Factorization of 30638

Prime factors of 30638 are 2, 15319. Prime factorization of 30638 in exponential form is:

30638 = 21 × 153191

Now multiplying the highest exponent prime factors to calculate the LCM of 30631 and 30638.

LCM(30631,30638) = 306311 × 21 × 153191
LCM(30631,30638) = 938472578