What is the Least Common Multiple of 28873 and 28885?
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 28873 and 28885 is 833996605.
LCM(28873,28885) = 833996605
Least Common Multiple of 28873 and 28885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28873 and 28885, than apply into the LCM equation.
GCF(28873,28885) = 1
LCM(28873,28885) = ( 28873 × 28885) / 1
LCM(28873,28885) = 833996605 / 1
LCM(28873,28885) = 833996605
Least Common Multiple (LCM) of 28873 and 28885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28873 and 28885. First we will calculate the prime factors of 28873 and 28885.
Prime Factorization of 28873
Prime factors of 28873 are 13, 2221. Prime factorization of 28873 in exponential form is:
28873 = 131 × 22211
Prime Factorization of 28885
Prime factors of 28885 are 5, 53, 109. Prime factorization of 28885 in exponential form is:
28885 = 51 × 531 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 28873 and 28885.
LCM(28873,28885) = 131 × 22211 × 51 × 531 × 1091
LCM(28873,28885) = 833996605
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