What is the Least Common Multiple of 63390 and 63394?
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 63390 and 63394 is 2009272830.
LCM(63390,63394) = 2009272830
Least Common Multiple of 63390 and 63394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63390 and 63394, than apply into the LCM equation.
GCF(63390,63394) = 2
LCM(63390,63394) = ( 63390 × 63394) / 2
LCM(63390,63394) = 4018545660 / 2
LCM(63390,63394) = 2009272830
Least Common Multiple (LCM) of 63390 and 63394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63390 and 63394. First we will calculate the prime factors of 63390 and 63394.
Prime Factorization of 63390
Prime factors of 63390 are 2, 3, 5, 2113. Prime factorization of 63390 in exponential form is:
63390 = 21 × 31 × 51 × 21131
Prime Factorization of 63394
Prime factors of 63394 are 2, 29, 1093. Prime factorization of 63394 in exponential form is:
63394 = 21 × 291 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 63390 and 63394.
LCM(63390,63394) = 21 × 31 × 51 × 21131 × 291 × 10931
LCM(63390,63394) = 2009272830
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