What is the Least Common Multiple of 16820 and 16838?

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 16820 and 16838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16820 and 16838, than apply into the LCM equation.

GCF(16820,16838) = 2
LCM(16820,16838) = ( 16820 × 16838) / 2
LCM(16820,16838) = 283215160 / 2
LCM(16820,16838) = 141607580

Least Common Multiple (LCM) of 16820 and 16838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16820 and 16838. First we will calculate the prime factors of 16820 and 16838.

Prime Factorization of 16820

Prime Factorization of 16838

Now multiplying the highest exponent prime factors to calculate the LCM of 16820 and 16838.

LCM(16820,16838) = 2² × 5¹ × 29² × 8419¹
LCM(16820,16838) = 141607580