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
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
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