What is the Least Common Multiple of 20823 and 20838?

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 20823 and 20838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20823 and 20838, than apply into the LCM equation.

GCF(20823,20838) = 3
LCM(20823,20838) = ( 20823 × 20838) / 3
LCM(20823,20838) = 433909674 / 3
LCM(20823,20838) = 144636558

Least Common Multiple (LCM) of 20823 and 20838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20823 and 20838. First we will calculate the prime factors of 20823 and 20838.

Prime Factorization of 20823

Prime Factorization of 20838

Now multiplying the highest exponent prime factors to calculate the LCM of 20823 and 20838.

LCM(20823,20838) = 3¹ × 11¹ × 631¹ × 2¹ × 23¹ × 151¹
LCM(20823,20838) = 144636558