GCF and LCM Calculator Logo

What is the Least Common Multiple of 16473 and 16491?

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 16473 and 16491 is 90552081.

LCM(16473,16491) = 90552081

LCM Calculator and
and

Least Common Multiple of 16473 and 16491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16473 and 16491, than apply into the LCM equation.

GCF(16473,16491) = 3
LCM(16473,16491) = ( 16473 × 16491) / 3
LCM(16473,16491) = 271656243 / 3
LCM(16473,16491) = 90552081

Least Common Multiple (LCM) of 16473 and 16491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16473 and 16491. First we will calculate the prime factors of 16473 and 16491.

Prime Factorization of 16473

Prime factors of 16473 are 3, 17, 19. Prime factorization of 16473 in exponential form is:

16473 = 31 × 172 × 191

Prime Factorization of 16491

Prime factors of 16491 are 3, 23, 239. Prime factorization of 16491 in exponential form is:

16491 = 31 × 231 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 16473 and 16491.

LCM(16473,16491) = 31 × 172 × 191 × 231 × 2391
LCM(16473,16491) = 90552081