What is the Least Common Multiple of 16454 and 16471?

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 of 16454 and 16471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16454 and 16471, than apply into the LCM equation.

GCF(16454,16471) = 1
LCM(16454,16471) = ( 16454 × 16471) / 1
LCM(16454,16471) = 271013834 / 1
LCM(16454,16471) = 271013834

Least Common Multiple (LCM) of 16454 and 16471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16454 and 16471. First we will calculate the prime factors of 16454 and 16471.

Prime Factorization of 16454

Prime Factorization of 16471

Now multiplying the highest exponent prime factors to calculate the LCM of 16454 and 16471.

LCM(16454,16471) = 2¹ × 19¹ × 433¹ × 7¹ × 13¹ × 181¹
LCM(16454,16471) = 271013834