What is the Least Common Multiple of 28173 and 28183?
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 28173 and 28183 is 793999659.
LCM(28173,28183) = 793999659
Least Common Multiple of 28173 and 28183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28173 and 28183, than apply into the LCM equation.
GCF(28173,28183) = 1
LCM(28173,28183) = ( 28173 × 28183) / 1
LCM(28173,28183) = 793999659 / 1
LCM(28173,28183) = 793999659
Least Common Multiple (LCM) of 28173 and 28183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28173 and 28183. First we will calculate the prime factors of 28173 and 28183.
Prime Factorization of 28173
Prime factors of 28173 are 3, 9391. Prime factorization of 28173 in exponential form is:
28173 = 31 × 93911
Prime Factorization of 28183
Prime factors of 28183 are 28183. Prime factorization of 28183 in exponential form is:
28183 = 281831
Now multiplying the highest exponent prime factors to calculate the LCM of 28173 and 28183.
LCM(28173,28183) = 31 × 93911 × 281831
LCM(28173,28183) = 793999659
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