What is the Least Common Multiple of 16789 and 16806?

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 16789 and 16806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16789 and 16806, than apply into the LCM equation.

GCF(16789,16806) = 1
LCM(16789,16806) = ( 16789 × 16806) / 1
LCM(16789,16806) = 282155934 / 1
LCM(16789,16806) = 282155934

Least Common Multiple (LCM) of 16789 and 16806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16789 and 16806. First we will calculate the prime factors of 16789 and 16806.

Prime Factorization of 16789

Prime Factorization of 16806

Now multiplying the highest exponent prime factors to calculate the LCM of 16789 and 16806.

LCM(16789,16806) = 103¹ × 163¹ × 2¹ × 3¹ × 2801¹
LCM(16789,16806) = 282155934