GCF and LCM Calculator Logo

What is the Least Common Multiple of 2313 and 2318?

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 2313 and 2318 is 5361534.

LCM(2313,2318) = 5361534

LCM Calculator and
and

Least Common Multiple of 2313 and 2318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2313 and 2318, than apply into the LCM equation.

GCF(2313,2318) = 1
LCM(2313,2318) = ( 2313 × 2318) / 1
LCM(2313,2318) = 5361534 / 1
LCM(2313,2318) = 5361534

Least Common Multiple (LCM) of 2313 and 2318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2313 and 2318. First we will calculate the prime factors of 2313 and 2318.

Prime Factorization of 2313

Prime factors of 2313 are 3, 257. Prime factorization of 2313 in exponential form is:

2313 = 32 × 2571

Prime Factorization of 2318

Prime factors of 2318 are 2, 19, 61. Prime factorization of 2318 in exponential form is:

2318 = 21 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2313 and 2318.

LCM(2313,2318) = 32 × 2571 × 21 × 191 × 611
LCM(2313,2318) = 5361534