What is the Least Common Multiple of 2355 and 2370?

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 2355 and 2370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2355 and 2370, than apply into the LCM equation.

GCF(2355,2370) = 15
LCM(2355,2370) = ( 2355 × 2370) / 15
LCM(2355,2370) = 5581350 / 15
LCM(2355,2370) = 372090

Least Common Multiple (LCM) of 2355 and 2370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2355 and 2370. First we will calculate the prime factors of 2355 and 2370.

Prime Factorization of 2355

Prime Factorization of 2370

Now multiplying the highest exponent prime factors to calculate the LCM of 2355 and 2370.

LCM(2355,2370) = 3¹ × 5¹ × 157¹ × 2¹ × 79¹
LCM(2355,2370) = 372090