What is the Least Common Multiple of 12269 and 12281?

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 12269 and 12281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12269 and 12281, than apply into the LCM equation.

GCF(12269,12281) = 1
LCM(12269,12281) = ( 12269 × 12281) / 1
LCM(12269,12281) = 150675589 / 1
LCM(12269,12281) = 150675589

Least Common Multiple (LCM) of 12269 and 12281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12269 and 12281. First we will calculate the prime factors of 12269 and 12281.

Prime Factorization of 12269

Prime Factorization of 12281

Now multiplying the highest exponent prime factors to calculate the LCM of 12269 and 12281.

LCM(12269,12281) = 12269¹ × 12281¹
LCM(12269,12281) = 150675589