What is the Least Common Multiple of 16801 and 16817?

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 16801 and 16817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16801 and 16817, than apply into the LCM equation.

GCF(16801,16817) = 1
LCM(16801,16817) = ( 16801 × 16817) / 1
LCM(16801,16817) = 282542417 / 1
LCM(16801,16817) = 282542417

Least Common Multiple (LCM) of 16801 and 16817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16801 and 16817. First we will calculate the prime factors of 16801 and 16817.

Prime Factorization of 16801

Prime Factorization of 16817

Now multiplying the highest exponent prime factors to calculate the LCM of 16801 and 16817.

LCM(16801,16817) = 53¹ × 317¹ × 67¹ × 251¹
LCM(16801,16817) = 282542417