Least Common Multiple of 2310 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 2310 and 2317 the smallest integer that is 764610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2310 and 2317 is 764610.

LCM(2310,2317) = 764610

LCM of 2310 and 2317

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

LCM of:
and

Least Common Multiple of 2310 and 2317

LCM of 2310 and 2317 is 764610

Least common multiple can be found by multiplying the highest exponent prime factors of 2310 and 2317. First we will calculate the prime factors of 2310 and 2317.

Prime Factorization of 2310


2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 2310 are 2, 3, 5, 7,11. Prime factorization of 2310 in exponential form is:

2310 = 21×31×51×71×111

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 2310 and 2317.

LCM(2310,2317) = 21×31×51×71×111×3311
LCM(2310,2317) = 764610

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Factors of 2317

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

1, 7, 331, 2317

Least Common Multiple of 2310 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 2310 and 2317, than apply into the LCM equation.

GCF(2310,2317) = 7
LCM(2310,2317) = ( 2310 × 2317) / 7
LCM(2310,2317) = 5352270 / 7
LCM(2310,2317) = 764610

Properties of LCM 2310 and 2317

(i) The LCM of 2317 and 2310 is associative

LCM of 2310 and 2317 = LCM of 2317 and 2310

Related Least Common Multiples of 2310

Related Least Common Multiples of 2317

Frequently Asked Questions on LCM of 2310 and 2317

1. What is the LCM of 2310 and 2317?

Answer: LCM of 2310 and 2317 is 764610.

2. What are the Factors of 2310?

Answer: Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310. There are 32 integers that are factors of 2310. The greatest factor of 2310 is 2310.

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 2310 and 2317?

Answer:

Least Common Multiple of 2310 and 2317 = 764610

Step 1: Find the prime factorization of 2310

2310 = 2 x 3 x 5 x 7 x 11

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 = 764610 = 2 x 3 x 5 x 7 x 11 x 331

Step 4: Therefore, the least common multiple of 2310 and 2317 is 764610.