Least Common Multiple of 2310 and 2315

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 2315 the smallest integer that is 1069530 that is divisible by both numbers.

Least Common Multiple (LCM) of 2310 and 2315 is 1069530.

LCM(2310,2315) = 1069530

LCM of 2310 and 2315

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

LCM of:
and

Least Common Multiple of 2310 and 2315

LCM of 2310 and 2315 is 1069530

Least common multiple can be found by multiplying the highest exponent prime factors of 2310 and 2315. First we will calculate the prime factors of 2310 and 2315.

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 2315


5 2315
463 463
1

Prime factors of 2315 are 5,463. Prime factorization of 2315 in exponential form is:

2315 = 51×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 2310 and 2315.

LCM(2310,2315) = 21×31×51×71×111×4631
LCM(2310,2315) = 1069530

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 2315

List of positive integer factors of 2315 that divides 2315 without a remainder.

1, 5, 463, 2315

Least Common Multiple of 2310 and 2315 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 2315, than apply into the LCM equation.

GCF(2310,2315) = 5
LCM(2310,2315) = ( 2310 × 2315) / 5
LCM(2310,2315) = 5347650 / 5
LCM(2310,2315) = 1069530

Properties of LCM 2310 and 2315

(i) The LCM of 2315 and 2310 is associative

LCM of 2310 and 2315 = LCM of 2315 and 2310

Related Least Common Multiples of 2310

Related Least Common Multiples of 2315

Frequently Asked Questions on LCM of 2310 and 2315

1. What is the LCM of 2310 and 2315?

Answer: LCM of 2310 and 2315 is 1069530.

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 2315?

Answer: Factors of 2315 are 1, 5, 463, 2315. There are 4 integers that are factors of 2315. The greatest factor of 2315 is 2315.

4. How to Find the LCM of 2310 and 2315?

Answer:

Least Common Multiple of 2310 and 2315 = 1069530

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 2315

2315 = 5 x 463

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

LCM = 1069530 = 2 x 3 x 5 x 7 x 11 x 463

Step 4: Therefore, the least common multiple of 2310 and 2315 is 1069530.