What is the Least Common Multiple of 16174 and 16184?
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 16174 and 16184 is 130880008.
LCM(16174,16184) = 130880008
Least Common Multiple of 16174 and 16184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16174 and 16184, than apply into the LCM equation.
GCF(16174,16184) = 2
LCM(16174,16184) = ( 16174 × 16184) / 2
LCM(16174,16184) = 261760016 / 2
LCM(16174,16184) = 130880008
Least Common Multiple (LCM) of 16174 and 16184 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16174 and 16184. First we will calculate the prime factors of 16174 and 16184.
Prime Factorization of 16174
Prime factors of 16174 are 2, 8087. Prime factorization of 16174 in exponential form is:
16174 = 21 × 80871
Prime Factorization of 16184
Prime factors of 16184 are 2, 7, 17. Prime factorization of 16184 in exponential form is:
16184 = 23 × 71 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 16174 and 16184.
LCM(16174,16184) = 23 × 80871 × 71 × 172
LCM(16174,16184) = 130880008
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