What is the Least Common Multiple of 12823 and 12836?

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 12823 and 12836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12823 and 12836, than apply into the LCM equation.

GCF(12823,12836) = 1
LCM(12823,12836) = ( 12823 × 12836) / 1
LCM(12823,12836) = 164596028 / 1
LCM(12823,12836) = 164596028

Least Common Multiple (LCM) of 12823 and 12836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12823 and 12836. First we will calculate the prime factors of 12823 and 12836.

Prime Factorization of 12823

Prime Factorization of 12836

Now multiplying the highest exponent prime factors to calculate the LCM of 12823 and 12836.

LCM(12823,12836) = 12823¹ × 2² × 3209¹
LCM(12823,12836) = 164596028