GCF and LCM Calculator Logo

What is the Least Common Multiple of 2314 and 2321?

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 2314 and 2321 is 5370794.

LCM(2314,2321) = 5370794

LCM Calculator and
and

Least Common Multiple of 2314 and 2321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2314 and 2321, than apply into the LCM equation.

GCF(2314,2321) = 1
LCM(2314,2321) = ( 2314 × 2321) / 1
LCM(2314,2321) = 5370794 / 1
LCM(2314,2321) = 5370794

Least Common Multiple (LCM) of 2314 and 2321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2314 and 2321. First we will calculate the prime factors of 2314 and 2321.

Prime Factorization of 2314

Prime factors of 2314 are 2, 13, 89. Prime factorization of 2314 in exponential form is:

2314 = 21 × 131 × 891

Prime Factorization of 2321

Prime factors of 2321 are 11, 211. Prime factorization of 2321 in exponential form is:

2321 = 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2314 and 2321.

LCM(2314,2321) = 21 × 131 × 891 × 111 × 2111
LCM(2314,2321) = 5370794