What is the Least Common Multiple of 12821 and 12839?

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 12821 and 12839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12821 and 12839, than apply into the LCM equation.

GCF(12821,12839) = 1
LCM(12821,12839) = ( 12821 × 12839) / 1
LCM(12821,12839) = 164608819 / 1
LCM(12821,12839) = 164608819

Least Common Multiple (LCM) of 12821 and 12839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12821 and 12839. First we will calculate the prime factors of 12821 and 12839.

Prime Factorization of 12821

Prime Factorization of 12839

Now multiplying the highest exponent prime factors to calculate the LCM of 12821 and 12839.

LCM(12821,12839) = 12821¹ × 37¹ × 347¹
LCM(12821,12839) = 164608819