What is the Least Common Multiple of 12433 and 12449?

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 12433 and 12449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12433 and 12449, than apply into the LCM equation.

GCF(12433,12449) = 1
LCM(12433,12449) = ( 12433 × 12449) / 1
LCM(12433,12449) = 154778417 / 1
LCM(12433,12449) = 154778417

Least Common Multiple (LCM) of 12433 and 12449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12433 and 12449. First we will calculate the prime factors of 12433 and 12449.

Prime Factorization of 12433

Prime Factorization of 12449

Now multiplying the highest exponent prime factors to calculate the LCM of 12433 and 12449.

LCM(12433,12449) = 12433¹ × 59¹ × 211¹
LCM(12433,12449) = 154778417