What is the Least Common Multiple of 28876 and 28893?
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 28876 and 28893 is 834314268.
LCM(28876,28893) = 834314268
Least Common Multiple of 28876 and 28893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28876 and 28893, than apply into the LCM equation.
GCF(28876,28893) = 1
LCM(28876,28893) = ( 28876 × 28893) / 1
LCM(28876,28893) = 834314268 / 1
LCM(28876,28893) = 834314268
Least Common Multiple (LCM) of 28876 and 28893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28876 and 28893. First we will calculate the prime factors of 28876 and 28893.
Prime Factorization of 28876
Prime factors of 28876 are 2, 7219. Prime factorization of 28876 in exponential form is:
28876 = 22 × 72191
Prime Factorization of 28893
Prime factors of 28893 are 3, 9631. Prime factorization of 28893 in exponential form is:
28893 = 31 × 96311
Now multiplying the highest exponent prime factors to calculate the LCM of 28876 and 28893.
LCM(28876,28893) = 22 × 72191 × 31 × 96311
LCM(28876,28893) = 834314268
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