GCF and LCM Calculator Logo

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

LCM Calculator and
and

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