GCF and LCM Calculator Logo

What is the Least Common Multiple of 2318 and 2326?

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 2318 and 2326 is 2695834.

LCM(2318,2326) = 2695834

LCM Calculator and
and

Least Common Multiple of 2318 and 2326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2318 and 2326, than apply into the LCM equation.

GCF(2318,2326) = 2
LCM(2318,2326) = ( 2318 × 2326) / 2
LCM(2318,2326) = 5391668 / 2
LCM(2318,2326) = 2695834

Least Common Multiple (LCM) of 2318 and 2326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2318 and 2326. First we will calculate the prime factors of 2318 and 2326.

Prime Factorization of 2318

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

2318 = 21 × 191 × 611

Prime Factorization of 2326

Prime factors of 2326 are 2, 1163. Prime factorization of 2326 in exponential form is:

2326 = 21 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 2318 and 2326.

LCM(2318,2326) = 21 × 191 × 611 × 11631
LCM(2318,2326) = 2695834