Least Common Multiple of 2315 and 2320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2315 and 2320 the smallest integer that is 1074160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2315 and 2320 is 1074160.

LCM(2315,2320) = 1074160

LCM of 2315 and 2320

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

LCM of:
and

Least Common Multiple of 2315 and 2320

LCM of 2315 and 2320 is 1074160

Least common multiple can be found by multiplying the highest exponent prime factors of 2315 and 2320. First we will calculate the prime factors of 2315 and 2320.

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

Prime Factorization of 2320


2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 2320 are 2, 5,29. Prime factorization of 2320 in exponential form is:

2320 = 24×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2315 and 2320.

LCM(2315,2320) = 24×51×291×4631
LCM(2315,2320) = 1074160

Factors of 2315

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

1, 5, 463, 2315

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

Least Common Multiple of 2315 and 2320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2315 and 2320, than apply into the LCM equation.

GCF(2315,2320) = 5
LCM(2315,2320) = ( 2315 × 2320) / 5
LCM(2315,2320) = 5370800 / 5
LCM(2315,2320) = 1074160

Properties of LCM 2315 and 2320

(i) The LCM of 2320 and 2315 is associative

LCM of 2315 and 2320 = LCM of 2320 and 2315

Related Least Common Multiples of 2315

Related Least Common Multiples of 2320

Frequently Asked Questions on LCM of 2315 and 2320

1. What is the LCM of 2315 and 2320?

Answer: LCM of 2315 and 2320 is 1074160.

2. 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.

3. What are the Factors of 2320?

Answer: Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. There are 20 integers that are factors of 2320. The greatest factor of 2320 is 2320.

4. How to Find the LCM of 2315 and 2320?

Answer:

Least Common Multiple of 2315 and 2320 = 1074160

Step 1: Find the prime factorization of 2315

2315 = 5 x 463

Step 2: Find the prime factorization of 2320

2320 = 2 x 2 x 2 x 2 x 5 x 29

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

LCM = 1074160 = 2 x 2 x 2 x 2 x 5 x 29 x 463

Step 4: Therefore, the least common multiple of 2315 and 2320 is 1074160.