What is the Least Common Multiple of 28549 and 28563?
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 28549 and 28563 is 815445087.
LCM(28549,28563) = 815445087
Least Common Multiple of 28549 and 28563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28549 and 28563, than apply into the LCM equation.
GCF(28549,28563) = 1
LCM(28549,28563) = ( 28549 × 28563) / 1
LCM(28549,28563) = 815445087 / 1
LCM(28549,28563) = 815445087
Least Common Multiple (LCM) of 28549 and 28563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28549 and 28563. First we will calculate the prime factors of 28549 and 28563.
Prime Factorization of 28549
Prime factors of 28549 are 28549. Prime factorization of 28549 in exponential form is:
28549 = 285491
Prime Factorization of 28563
Prime factors of 28563 are 3, 9521. Prime factorization of 28563 in exponential form is:
28563 = 31 × 95211
Now multiplying the highest exponent prime factors to calculate the LCM of 28549 and 28563.
LCM(28549,28563) = 285491 × 31 × 95211
LCM(28549,28563) = 815445087
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