What is the Least Common Multiple of 2340 and 2355?

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 2355 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 2355, than apply into the LCM equation.

GCF(2340,2355) = 15
LCM(2340,2355) = ( 2340 × 2355) / 15
LCM(2340,2355) = 5510700 / 15
LCM(2340,2355) = 367380

Least Common Multiple (LCM) of 2340 and 2355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2340 and 2355. First we will calculate the prime factors of 2340 and 2355.

Prime Factorization of 2340

Prime Factorization of 2355

Now multiplying the highest exponent prime factors to calculate the LCM of 2340 and 2355.

LCM(2340,2355) = 2² × 3² × 5¹ × 13¹ × 157¹
LCM(2340,2355) = 367380