What is the Least Common Multiple of 18566 and 18571?
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 18566 and 18571 is 344789186.
LCM(18566,18571) = 344789186
Least Common Multiple of 18566 and 18571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18566 and 18571, than apply into the LCM equation.
GCF(18566,18571) = 1
LCM(18566,18571) = ( 18566 × 18571) / 1
LCM(18566,18571) = 344789186 / 1
LCM(18566,18571) = 344789186
Least Common Multiple (LCM) of 18566 and 18571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18566 and 18571. First we will calculate the prime factors of 18566 and 18571.
Prime Factorization of 18566
Prime factors of 18566 are 2, 9283. Prime factorization of 18566 in exponential form is:
18566 = 21 × 92831
Prime Factorization of 18571
Prime factors of 18571 are 7, 379. Prime factorization of 18571 in exponential form is:
18571 = 72 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 18566 and 18571.
LCM(18566,18571) = 21 × 92831 × 72 × 3791
LCM(18566,18571) = 344789186
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