What is the Least Common Multiple of 12274 and 12286?

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 12274 and 12286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12274 and 12286, than apply into the LCM equation.

GCF(12274,12286) = 2
LCM(12274,12286) = ( 12274 × 12286) / 2
LCM(12274,12286) = 150798364 / 2
LCM(12274,12286) = 75399182

Least Common Multiple (LCM) of 12274 and 12286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12274 and 12286. First we will calculate the prime factors of 12274 and 12286.

Prime Factorization of 12274

Prime Factorization of 12286

Now multiplying the highest exponent prime factors to calculate the LCM of 12274 and 12286.

LCM(12274,12286) = 2¹ × 17¹ × 19² × 6143¹
LCM(12274,12286) = 75399182