What is the Least Common Multiple of 12289 and 12309?

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 12289 and 12309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12289 and 12309, than apply into the LCM equation.

GCF(12289,12309) = 1
LCM(12289,12309) = ( 12289 × 12309) / 1
LCM(12289,12309) = 151265301 / 1
LCM(12289,12309) = 151265301

Least Common Multiple (LCM) of 12289 and 12309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12289 and 12309. First we will calculate the prime factors of 12289 and 12309.

Prime Factorization of 12289

Prime Factorization of 12309

Now multiplying the highest exponent prime factors to calculate the LCM of 12289 and 12309.

LCM(12289,12309) = 12289¹ × 3¹ × 11¹ × 373¹
LCM(12289,12309) = 151265301