GCF and LCM Calculator Logo

What is the Least Common Multiple of 16566 and 16573?

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 16573 is 274548318.

LCM(16566,16573) = 274548318

LCM Calculator and
and

Least Common Multiple of 16566 and 16573 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 16573, than apply into the LCM equation.

GCF(16566,16573) = 1
LCM(16566,16573) = ( 16566 × 16573) / 1
LCM(16566,16573) = 274548318 / 1
LCM(16566,16573) = 274548318

Least Common Multiple (LCM) of 16566 and 16573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16566 and 16573. First we will calculate the prime factors of 16566 and 16573.

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 16573

Prime factors of 16573 are 16573. Prime factorization of 16573 in exponential form is:

16573 = 165731

Now multiplying the highest exponent prime factors to calculate the LCM of 16566 and 16573.

LCM(16566,16573) = 21 × 31 × 111 × 2511 × 165731
LCM(16566,16573) = 274548318