What is the Least Common Multiple of 16805 and 16825?

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 16805 and 16825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16805 and 16825, than apply into the LCM equation.

GCF(16805,16825) = 5
LCM(16805,16825) = ( 16805 × 16825) / 5
LCM(16805,16825) = 282744125 / 5
LCM(16805,16825) = 56548825

Least Common Multiple (LCM) of 16805 and 16825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16805 and 16825. First we will calculate the prime factors of 16805 and 16825.

Prime Factorization of 16805

Prime Factorization of 16825

Now multiplying the highest exponent prime factors to calculate the LCM of 16805 and 16825.

LCM(16805,16825) = 5² × 3361¹ × 673¹
LCM(16805,16825) = 56548825