What is the Least Common Multiple of 16791 and 16805?

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 16791 and 16805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16791 and 16805, than apply into the LCM equation.

GCF(16791,16805) = 1
LCM(16791,16805) = ( 16791 × 16805) / 1
LCM(16791,16805) = 282172755 / 1
LCM(16791,16805) = 282172755

Least Common Multiple (LCM) of 16791 and 16805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16791 and 16805. First we will calculate the prime factors of 16791 and 16805.

Prime Factorization of 16791

Prime Factorization of 16805

Now multiplying the highest exponent prime factors to calculate the LCM of 16791 and 16805.

LCM(16791,16805) = 3¹ × 29¹ × 193¹ × 5¹ × 3361¹
LCM(16791,16805) = 282172755