What is the Least Common Multiple of 2305 and 2315?

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 2305 and 2315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2305 and 2315, than apply into the LCM equation.

GCF(2305,2315) = 5
LCM(2305,2315) = ( 2305 × 2315) / 5
LCM(2305,2315) = 5336075 / 5
LCM(2305,2315) = 1067215

Least Common Multiple (LCM) of 2305 and 2315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2305 and 2315. First we will calculate the prime factors of 2305 and 2315.

Prime Factorization of 2305

Prime Factorization of 2315

Now multiplying the highest exponent prime factors to calculate the LCM of 2305 and 2315.

LCM(2305,2315) = 5¹ × 461¹ × 463¹
LCM(2305,2315) = 1067215