What is the Least Common Multiple of 12397 and 12409?

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 12397 and 12409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12397 and 12409, than apply into the LCM equation.

GCF(12397,12409) = 1
LCM(12397,12409) = ( 12397 × 12409) / 1
LCM(12397,12409) = 153834373 / 1
LCM(12397,12409) = 153834373

Least Common Multiple (LCM) of 12397 and 12409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12397 and 12409. First we will calculate the prime factors of 12397 and 12409.

Prime Factorization of 12397

Prime Factorization of 12409

Now multiplying the highest exponent prime factors to calculate the LCM of 12397 and 12409.

LCM(12397,12409) = 7² × 11¹ × 23¹ × 12409¹
LCM(12397,12409) = 153834373