What is the Least Common Multiple of 2312 and 2317?

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 2312 and 2317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2312 and 2317, than apply into the LCM equation.

GCF(2312,2317) = 1
LCM(2312,2317) = ( 2312 × 2317) / 1
LCM(2312,2317) = 5356904 / 1
LCM(2312,2317) = 5356904

Least Common Multiple (LCM) of 2312 and 2317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2312 and 2317. First we will calculate the prime factors of 2312 and 2317.

Prime Factorization of 2312

Prime Factorization of 2317

Now multiplying the highest exponent prime factors to calculate the LCM of 2312 and 2317.

LCM(2312,2317) = 2³ × 17² × 7¹ × 331¹
LCM(2312,2317) = 5356904