What is the Least Common Multiple of 12309 and 12326?

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 12309 and 12326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12309 and 12326, than apply into the LCM equation.

GCF(12309,12326) = 1
LCM(12309,12326) = ( 12309 × 12326) / 1
LCM(12309,12326) = 151720734 / 1
LCM(12309,12326) = 151720734

Least Common Multiple (LCM) of 12309 and 12326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12309 and 12326. First we will calculate the prime factors of 12309 and 12326.

Prime Factorization of 12309

Prime Factorization of 12326

Now multiplying the highest exponent prime factors to calculate the LCM of 12309 and 12326.

LCM(12309,12326) = 3¹ × 11¹ × 373¹ × 2¹ × 6163¹
LCM(12309,12326) = 151720734