What is the Least Common Multiple of 2340 and 2346?

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 2340 and 2346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2340 and 2346, than apply into the LCM equation.

GCF(2340,2346) = 6
LCM(2340,2346) = ( 2340 × 2346) / 6
LCM(2340,2346) = 5489640 / 6
LCM(2340,2346) = 914940

Least Common Multiple (LCM) of 2340 and 2346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2340 and 2346. First we will calculate the prime factors of 2340 and 2346.

Prime Factorization of 2340

Prime Factorization of 2346

Now multiplying the highest exponent prime factors to calculate the LCM of 2340 and 2346.

LCM(2340,2346) = 2² × 3² × 5¹ × 13¹ × 17¹ × 23¹
LCM(2340,2346) = 914940