What is the Least Common Multiple of 28863 and 28877?
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 28863 and 28877 is 833476851.
LCM(28863,28877) = 833476851
Least Common Multiple of 28863 and 28877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28863 and 28877, than apply into the LCM equation.
GCF(28863,28877) = 1
LCM(28863,28877) = ( 28863 × 28877) / 1
LCM(28863,28877) = 833476851 / 1
LCM(28863,28877) = 833476851
Least Common Multiple (LCM) of 28863 and 28877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28863 and 28877. First we will calculate the prime factors of 28863 and 28877.
Prime Factorization of 28863
Prime factors of 28863 are 3, 1069. Prime factorization of 28863 in exponential form is:
28863 = 33 × 10691
Prime Factorization of 28877
Prime factors of 28877 are 67, 431. Prime factorization of 28877 in exponential form is:
28877 = 671 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 28863 and 28877.
LCM(28863,28877) = 33 × 10691 × 671 × 4311
LCM(28863,28877) = 833476851
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