GCF and LCM Calculator Logo

What is the Least Common Multiple of 16469 and 16481?

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 16469 and 16481 is 271425589.

LCM(16469,16481) = 271425589

LCM Calculator and
and

Least Common Multiple of 16469 and 16481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16469 and 16481, than apply into the LCM equation.

GCF(16469,16481) = 1
LCM(16469,16481) = ( 16469 × 16481) / 1
LCM(16469,16481) = 271425589 / 1
LCM(16469,16481) = 271425589

Least Common Multiple (LCM) of 16469 and 16481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16469 and 16481. First we will calculate the prime factors of 16469 and 16481.

Prime Factorization of 16469

Prime factors of 16469 are 43, 383. Prime factorization of 16469 in exponential form is:

16469 = 431 × 3831

Prime Factorization of 16481

Prime factors of 16481 are 16481. Prime factorization of 16481 in exponential form is:

16481 = 164811

Now multiplying the highest exponent prime factors to calculate the LCM of 16469 and 16481.

LCM(16469,16481) = 431 × 3831 × 164811
LCM(16469,16481) = 271425589