GCF and LCM Calculator Logo

What is the Least Common Multiple of 2303 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 (LCM) of 2303 and 2315 is 5331445.

LCM(2303,2315) = 5331445

LCM Calculator and
and

Least Common Multiple of 2303 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 2303 and 2315, than apply into the LCM equation.

GCF(2303,2315) = 1
LCM(2303,2315) = ( 2303 × 2315) / 1
LCM(2303,2315) = 5331445 / 1
LCM(2303,2315) = 5331445

Least Common Multiple (LCM) of 2303 and 2315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2303 and 2315. First we will calculate the prime factors of 2303 and 2315.

Prime Factorization of 2303

Prime factors of 2303 are 7, 47. Prime factorization of 2303 in exponential form is:

2303 = 72 × 471

Prime Factorization of 2315

Prime factors of 2315 are 5, 463. Prime factorization of 2315 in exponential form is:

2315 = 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 2303 and 2315.

LCM(2303,2315) = 72 × 471 × 51 × 4631
LCM(2303,2315) = 5331445