What is the Least Common Multiple of 12338 and 12342?

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 12338 and 12342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12338 and 12342, than apply into the LCM equation.

GCF(12338,12342) = 2
LCM(12338,12342) = ( 12338 × 12342) / 2
LCM(12338,12342) = 152275596 / 2
LCM(12338,12342) = 76137798

Least Common Multiple (LCM) of 12338 and 12342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12338 and 12342. First we will calculate the prime factors of 12338 and 12342.

Prime Factorization of 12338

Prime Factorization of 12342

Now multiplying the highest exponent prime factors to calculate the LCM of 12338 and 12342.

LCM(12338,12342) = 2¹ × 31¹ × 199¹ × 3¹ × 11² × 17¹
LCM(12338,12342) = 76137798