What is the Least Common Multiple of 2313 and 2333?

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 of 2313 and 2333 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 2333, than apply into the LCM equation.

GCF(2313,2333) = 1
LCM(2313,2333) = ( 2313 × 2333) / 1
LCM(2313,2333) = 5396229 / 1
LCM(2313,2333) = 5396229

Least Common Multiple (LCM) of 2313 and 2333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2313 and 2333. First we will calculate the prime factors of 2313 and 2333.

Prime Factorization of 2313

Prime Factorization of 2333

Now multiplying the highest exponent prime factors to calculate the LCM of 2313 and 2333.

LCM(2313,2333) = 3² × 257¹ × 2333¹
LCM(2313,2333) = 5396229