GCF and LCM Calculator Logo

What is the Least Common Multiple of 2316 and 2331?

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 2316 and 2331 is 1799532.

LCM(2316,2331) = 1799532

LCM Calculator and
and

Least Common Multiple of 2316 and 2331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2316 and 2331, than apply into the LCM equation.

GCF(2316,2331) = 3
LCM(2316,2331) = ( 2316 × 2331) / 3
LCM(2316,2331) = 5398596 / 3
LCM(2316,2331) = 1799532

Least Common Multiple (LCM) of 2316 and 2331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2316 and 2331. First we will calculate the prime factors of 2316 and 2331.

Prime Factorization of 2316

Prime factors of 2316 are 2, 3, 193. Prime factorization of 2316 in exponential form is:

2316 = 22 × 31 × 1931

Prime Factorization of 2331

Prime factors of 2331 are 3, 7, 37. Prime factorization of 2331 in exponential form is:

2331 = 32 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2316 and 2331.

LCM(2316,2331) = 22 × 32 × 1931 × 71 × 371
LCM(2316,2331) = 1799532