What is the Least Common Multiple of 28887 and 28894?
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 28887 and 28894 is 834660978.
LCM(28887,28894) = 834660978
Least Common Multiple of 28887 and 28894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28887 and 28894, than apply into the LCM equation.
GCF(28887,28894) = 1
LCM(28887,28894) = ( 28887 × 28894) / 1
LCM(28887,28894) = 834660978 / 1
LCM(28887,28894) = 834660978
Least Common Multiple (LCM) of 28887 and 28894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28887 and 28894. First we will calculate the prime factors of 28887 and 28894.
Prime Factorization of 28887
Prime factors of 28887 are 3, 9629. Prime factorization of 28887 in exponential form is:
28887 = 31 × 96291
Prime Factorization of 28894
Prime factors of 28894 are 2, 14447. Prime factorization of 28894 in exponential form is:
28894 = 21 × 144471
Now multiplying the highest exponent prime factors to calculate the LCM of 28887 and 28894.
LCM(28887,28894) = 31 × 96291 × 21 × 144471
LCM(28887,28894) = 834660978
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