What is the Least Common Multiple of 16571 and 16585?
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 16571 and 16585 is 274830035.
LCM(16571,16585) = 274830035
Least Common Multiple of 16571 and 16585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16571 and 16585, than apply into the LCM equation.
GCF(16571,16585) = 1
LCM(16571,16585) = ( 16571 × 16585) / 1
LCM(16571,16585) = 274830035 / 1
LCM(16571,16585) = 274830035
Least Common Multiple (LCM) of 16571 and 16585 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16571 and 16585. First we will calculate the prime factors of 16571 and 16585.
Prime Factorization of 16571
Prime factors of 16571 are 73, 227. Prime factorization of 16571 in exponential form is:
16571 = 731 × 2271
Prime Factorization of 16585
Prime factors of 16585 are 5, 31, 107. Prime factorization of 16585 in exponential form is:
16585 = 51 × 311 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 16571 and 16585.
LCM(16571,16585) = 731 × 2271 × 51 × 311 × 1071
LCM(16571,16585) = 274830035
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