What is the Least Common Multiple of 12274 and 12294?

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 12294 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 12294, than apply into the LCM equation.

GCF(12274,12294) = 2
LCM(12274,12294) = ( 12274 × 12294) / 2
LCM(12274,12294) = 150896556 / 2
LCM(12274,12294) = 75448278

Least Common Multiple (LCM) of 12274 and 12294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12274 and 12294. First we will calculate the prime factors of 12274 and 12294.

Prime Factorization of 12274

Prime Factorization of 12294

Now multiplying the highest exponent prime factors to calculate the LCM of 12274 and 12294.

LCM(12274,12294) = 2¹ × 17¹ × 19² × 3² × 683¹
LCM(12274,12294) = 75448278