What is the Least Common Multiple of 28561 and 28571?
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 28561 and 28571 is 816016331.
LCM(28561,28571) = 816016331
Least Common Multiple of 28561 and 28571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28561 and 28571, than apply into the LCM equation.
GCF(28561,28571) = 1
LCM(28561,28571) = ( 28561 × 28571) / 1
LCM(28561,28571) = 816016331 / 1
LCM(28561,28571) = 816016331
Least Common Multiple (LCM) of 28561 and 28571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28561 and 28571. First we will calculate the prime factors of 28561 and 28571.
Prime Factorization of 28561
Prime factors of 28561 are 13. Prime factorization of 28561 in exponential form is:
28561 = 134
Prime Factorization of 28571
Prime factors of 28571 are 28571. Prime factorization of 28571 in exponential form is:
28571 = 285711
Now multiplying the highest exponent prime factors to calculate the LCM of 28561 and 28571.
LCM(28561,28571) = 134 × 285711
LCM(28561,28571) = 816016331
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