What is the Least Common Multiple of 28547 and 28555?
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 28547 and 28555 is 815159585.
LCM(28547,28555) = 815159585
Least Common Multiple of 28547 and 28555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28547 and 28555, than apply into the LCM equation.
GCF(28547,28555) = 1
LCM(28547,28555) = ( 28547 × 28555) / 1
LCM(28547,28555) = 815159585 / 1
LCM(28547,28555) = 815159585
Least Common Multiple (LCM) of 28547 and 28555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28547 and 28555. First we will calculate the prime factors of 28547 and 28555.
Prime Factorization of 28547
Prime factors of 28547 are 28547. Prime factorization of 28547 in exponential form is:
28547 = 285471
Prime Factorization of 28555
Prime factors of 28555 are 5, 5711. Prime factorization of 28555 in exponential form is:
28555 = 51 × 57111
Now multiplying the highest exponent prime factors to calculate the LCM of 28547 and 28555.
LCM(28547,28555) = 285471 × 51 × 57111
LCM(28547,28555) = 815159585
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