What is the Least Common Multiple of 12342 and 12346?

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 12342 and 12346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12342 and 12346, than apply into the LCM equation.

GCF(12342,12346) = 2
LCM(12342,12346) = ( 12342 × 12346) / 2
LCM(12342,12346) = 152374332 / 2
LCM(12342,12346) = 76187166

Least Common Multiple (LCM) of 12342 and 12346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12342 and 12346. First we will calculate the prime factors of 12342 and 12346.

Prime Factorization of 12342

Prime Factorization of 12346

Now multiplying the highest exponent prime factors to calculate the LCM of 12342 and 12346.

LCM(12342,12346) = 2¹ × 3¹ × 11² × 17¹ × 6173¹
LCM(12342,12346) = 76187166