What is the Least Common Multiple of 28166 and 28175?
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 28166 and 28175 is 793577050.
LCM(28166,28175) = 793577050
Least Common Multiple of 28166 and 28175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28166 and 28175, than apply into the LCM equation.
GCF(28166,28175) = 1
LCM(28166,28175) = ( 28166 × 28175) / 1
LCM(28166,28175) = 793577050 / 1
LCM(28166,28175) = 793577050
Least Common Multiple (LCM) of 28166 and 28175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28166 and 28175. First we will calculate the prime factors of 28166 and 28175.
Prime Factorization of 28166
Prime factors of 28166 are 2, 14083. Prime factorization of 28166 in exponential form is:
28166 = 21 × 140831
Prime Factorization of 28175
Prime factors of 28175 are 5, 7, 23. Prime factorization of 28175 in exponential form is:
28175 = 52 × 72 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 28166 and 28175.
LCM(28166,28175) = 21 × 140831 × 52 × 72 × 231
LCM(28166,28175) = 793577050
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