What is the Least Common Multiple of 16566 and 16571?
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 16566 and 16571 is 274515186.
LCM(16566,16571) = 274515186
Least Common Multiple of 16566 and 16571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16566 and 16571, than apply into the LCM equation.
GCF(16566,16571) = 1
LCM(16566,16571) = ( 16566 × 16571) / 1
LCM(16566,16571) = 274515186 / 1
LCM(16566,16571) = 274515186
Least Common Multiple (LCM) of 16566 and 16571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16566 and 16571. First we will calculate the prime factors of 16566 and 16571.
Prime Factorization of 16566
Prime factors of 16566 are 2, 3, 11, 251. Prime factorization of 16566 in exponential form is:
16566 = 21 × 31 × 111 × 2511
Prime Factorization of 16571
Prime factors of 16571 are 73, 227. Prime factorization of 16571 in exponential form is:
16571 = 731 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 16566 and 16571.
LCM(16566,16571) = 21 × 31 × 111 × 2511 × 731 × 2271
LCM(16566,16571) = 274515186
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