GCF and LCM Calculator Logo

What is the Least Common Multiple of 2288 and 2294?

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 2288 and 2294 is 2624336.

LCM(2288,2294) = 2624336

LCM Calculator and
and

Least Common Multiple of 2288 and 2294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2288 and 2294, than apply into the LCM equation.

GCF(2288,2294) = 2
LCM(2288,2294) = ( 2288 × 2294) / 2
LCM(2288,2294) = 5248672 / 2
LCM(2288,2294) = 2624336

Least Common Multiple (LCM) of 2288 and 2294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2288 and 2294. First we will calculate the prime factors of 2288 and 2294.

Prime Factorization of 2288

Prime factors of 2288 are 2, 11, 13. Prime factorization of 2288 in exponential form is:

2288 = 24 × 111 × 131

Prime Factorization of 2294

Prime factors of 2294 are 2, 31, 37. Prime factorization of 2294 in exponential form is:

2294 = 21 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2288 and 2294.

LCM(2288,2294) = 24 × 111 × 131 × 311 × 371
LCM(2288,2294) = 2624336