What is the Least Common Multiple of 2340 and 2358?

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 2358 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 2358, than apply into the LCM equation.

GCF(2340,2358) = 18
LCM(2340,2358) = ( 2340 × 2358) / 18
LCM(2340,2358) = 5517720 / 18
LCM(2340,2358) = 306540

Least Common Multiple (LCM) of 2340 and 2358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2340 and 2358. First we will calculate the prime factors of 2340 and 2358.

Prime Factorization of 2340

Prime Factorization of 2358

Now multiplying the highest exponent prime factors to calculate the LCM of 2340 and 2358.

LCM(2340,2358) = 2² × 3² × 5¹ × 13¹ × 131¹
LCM(2340,2358) = 306540