GCF and LCM Calculator Logo

What is the Least Common Multiple of 16451 and 16467?

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 16451 and 16467 is 270898617.

LCM(16451,16467) = 270898617

LCM Calculator and
and

Least Common Multiple of 16451 and 16467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16451 and 16467, than apply into the LCM equation.

GCF(16451,16467) = 1
LCM(16451,16467) = ( 16451 × 16467) / 1
LCM(16451,16467) = 270898617 / 1
LCM(16451,16467) = 270898617

Least Common Multiple (LCM) of 16451 and 16467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16451 and 16467. First we will calculate the prime factors of 16451 and 16467.

Prime Factorization of 16451

Prime factors of 16451 are 16451. Prime factorization of 16451 in exponential form is:

16451 = 164511

Prime Factorization of 16467

Prime factors of 16467 are 3, 11, 499. Prime factorization of 16467 in exponential form is:

16467 = 31 × 111 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 16451 and 16467.

LCM(16451,16467) = 164511 × 31 × 111 × 4991
LCM(16451,16467) = 270898617