What is the Least Common Multiple of 28867 and 28887?
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 28867 and 28887 is 833881029.
LCM(28867,28887) = 833881029
Least Common Multiple of 28867 and 28887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28867 and 28887, than apply into the LCM equation.
GCF(28867,28887) = 1
LCM(28867,28887) = ( 28867 × 28887) / 1
LCM(28867,28887) = 833881029 / 1
LCM(28867,28887) = 833881029
Least Common Multiple (LCM) of 28867 and 28887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28867 and 28887. First we will calculate the prime factors of 28867 and 28887.
Prime Factorization of 28867
Prime factors of 28867 are 28867. Prime factorization of 28867 in exponential form is:
28867 = 288671
Prime Factorization of 28887
Prime factors of 28887 are 3, 9629. Prime factorization of 28887 in exponential form is:
28887 = 31 × 96291
Now multiplying the highest exponent prime factors to calculate the LCM of 28867 and 28887.
LCM(28867,28887) = 288671 × 31 × 96291
LCM(28867,28887) = 833881029
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