What is the Least Common Multiple of 28883 and 28889?
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 28883 and 28889 is 834400987.
LCM(28883,28889) = 834400987
Least Common Multiple of 28883 and 28889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28883 and 28889, than apply into the LCM equation.
GCF(28883,28889) = 1
LCM(28883,28889) = ( 28883 × 28889) / 1
LCM(28883,28889) = 834400987 / 1
LCM(28883,28889) = 834400987
Least Common Multiple (LCM) of 28883 and 28889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28889. First we will calculate the prime factors of 28883 and 28889.
Prime Factorization of 28883
Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:
28883 = 171 × 16991
Prime Factorization of 28889
Prime factors of 28889 are 7, 4127. Prime factorization of 28889 in exponential form is:
28889 = 71 × 41271
Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28889.
LCM(28883,28889) = 171 × 16991 × 71 × 41271
LCM(28883,28889) = 834400987
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