What is the Least Common Multiple of 16805 and 16820?

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 16820 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 16820, than apply into the LCM equation.

GCF(16805,16820) = 5
LCM(16805,16820) = ( 16805 × 16820) / 5
LCM(16805,16820) = 282660100 / 5
LCM(16805,16820) = 56532020

Least Common Multiple (LCM) of 16805 and 16820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16805 and 16820. First we will calculate the prime factors of 16805 and 16820.

Prime Factorization of 16805

Prime Factorization of 16820

Now multiplying the highest exponent prime factors to calculate the LCM of 16805 and 16820.

LCM(16805,16820) = 5¹ × 3361¹ × 2² × 29²
LCM(16805,16820) = 56532020