What is the Least Common Multiple of 20393 and 20399?
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 20393 and 20399 is 415996807.
LCM(20393,20399) = 415996807
Least Common Multiple of 20393 and 20399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20393 and 20399, than apply into the LCM equation.
GCF(20393,20399) = 1
LCM(20393,20399) = ( 20393 × 20399) / 1
LCM(20393,20399) = 415996807 / 1
LCM(20393,20399) = 415996807
Least Common Multiple (LCM) of 20393 and 20399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20393 and 20399. First we will calculate the prime factors of 20393 and 20399.
Prime Factorization of 20393
Prime factors of 20393 are 20393. Prime factorization of 20393 in exponential form is:
20393 = 203931
Prime Factorization of 20399
Prime factors of 20399 are 20399. Prime factorization of 20399 in exponential form is:
20399 = 203991
Now multiplying the highest exponent prime factors to calculate the LCM of 20393 and 20399.
LCM(20393,20399) = 203931 × 203991
LCM(20393,20399) = 415996807
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