What is the Least Common Multiple of 12383 and 12397?

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 12383 and 12397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12383 and 12397, than apply into the LCM equation.

GCF(12383,12397) = 7
LCM(12383,12397) = ( 12383 × 12397) / 7
LCM(12383,12397) = 153512051 / 7
LCM(12383,12397) = 21930293

Least Common Multiple (LCM) of 12383 and 12397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12383 and 12397. First we will calculate the prime factors of 12383 and 12397.

Prime Factorization of 12383

Prime Factorization of 12397

Now multiplying the highest exponent prime factors to calculate the LCM of 12383 and 12397.

LCM(12383,12397) = 7² × 29¹ × 61¹ × 11¹ × 23¹
LCM(12383,12397) = 21930293