Least Common Multiple of 2312 and 2317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2312 and 2317 the smallest integer that is 5356904 that is divisible by both numbers.

Least Common Multiple (LCM) of 2312 and 2317 is 5356904.

LCM(2312,2317) = 5356904

LCM of 2312 and 2317

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2312 and 2317

LCM of 2312 and 2317 is 5356904

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


2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 2312 are 2,17. Prime factorization of 2312 in exponential form is:

2312 = 23×172

Prime Factorization of 2317


7 2317
331 331
1

Prime factors of 2317 are 7,331. Prime factorization of 2317 in exponential form is:

2317 = 71×3311

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

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

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312

Factors of 2317

List of positive integer factors of 2317 that divides 2317 without a remainder.

1, 7, 331, 2317

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

Properties of LCM 2312 and 2317

(i) The LCM of 2317 and 2312 is associative

LCM of 2312 and 2317 = LCM of 2317 and 2312

Related Least Common Multiples of 2312

Related Least Common Multiples of 2317

Frequently Asked Questions on LCM of 2312 and 2317

1. What is the LCM of 2312 and 2317?

Answer: LCM of 2312 and 2317 is 5356904.

2. What are the Factors of 2312?

Answer: Factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312. There are 12 integers that are factors of 2312. The greatest factor of 2312 is 2312.

3. What are the Factors of 2317?

Answer: Factors of 2317 are 1, 7, 331, 2317. There are 4 integers that are factors of 2317. The greatest factor of 2317 is 2317.

4. How to Find the LCM of 2312 and 2317?

Answer:

Least Common Multiple of 2312 and 2317 = 5356904

Step 1: Find the prime factorization of 2312

2312 = 2 x 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 2317

2317 = 7 x 331

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5356904 = 2 x 2 x 2 x 7 x 17 x 17 x 331

Step 4: Therefore, the least common multiple of 2312 and 2317 is 5356904.