What is the Least Common Multiple of 16809 and 16822?

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 16809 and 16822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16809 and 16822, than apply into the LCM equation.

GCF(16809,16822) = 13
LCM(16809,16822) = ( 16809 × 16822) / 13
LCM(16809,16822) = 282760998 / 13
LCM(16809,16822) = 21750846

Least Common Multiple (LCM) of 16809 and 16822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16809 and 16822. First we will calculate the prime factors of 16809 and 16822.

Prime Factorization of 16809

Prime Factorization of 16822

Now multiplying the highest exponent prime factors to calculate the LCM of 16809 and 16822.

LCM(16809,16822) = 3¹ × 13¹ × 431¹ × 2¹ × 647¹
LCM(16809,16822) = 21750846