What is the Least Common Multiple of 16805 and 16824?

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 16824 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 16824, than apply into the LCM equation.

GCF(16805,16824) = 1
LCM(16805,16824) = ( 16805 × 16824) / 1
LCM(16805,16824) = 282727320 / 1
LCM(16805,16824) = 282727320

Least Common Multiple (LCM) of 16805 and 16824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16805 and 16824. First we will calculate the prime factors of 16805 and 16824.

Prime Factorization of 16805

Prime Factorization of 16824

Now multiplying the highest exponent prime factors to calculate the LCM of 16805 and 16824.

LCM(16805,16824) = 5¹ × 3361¹ × 2³ × 3¹ × 701¹
LCM(16805,16824) = 282727320