What is the Least Common Multiple of 16171 and 16175?
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 16171 and 16175 is 261565925.
LCM(16171,16175) = 261565925
Least Common Multiple of 16171 and 16175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16171 and 16175, than apply into the LCM equation.
GCF(16171,16175) = 1
LCM(16171,16175) = ( 16171 × 16175) / 1
LCM(16171,16175) = 261565925 / 1
LCM(16171,16175) = 261565925
Least Common Multiple (LCM) of 16171 and 16175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16171 and 16175. First we will calculate the prime factors of 16171 and 16175.
Prime Factorization of 16171
Prime factors of 16171 are 103, 157. Prime factorization of 16171 in exponential form is:
16171 = 1031 × 1571
Prime Factorization of 16175
Prime factors of 16175 are 5, 647. Prime factorization of 16175 in exponential form is:
16175 = 52 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 16171 and 16175.
LCM(16171,16175) = 1031 × 1571 × 52 × 6471
LCM(16171,16175) = 261565925
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