Least Common Multiple of 260 and 265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 260 and 265 the smallest integer that is 13780 that is divisible by both numbers.

Least Common Multiple (LCM) of 260 and 265 is 13780.

LCM(260,265) = 13780

LCM of 260 and 265

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

LCM of:
and

Least Common Multiple of 260 and 265

LCM of 260 and 265 is 13780

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 265. First we will calculate the prime factors of 260 and 265.

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Prime Factorization of 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 260 and 265.

LCM(260,265) = 22×51×131×531
LCM(260,265) = 13780

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Least Common Multiple of 260 and 265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 265, than apply into the LCM equation.

GCF(260,265) = 5
LCM(260,265) = ( 260 × 265) / 5
LCM(260,265) = 68900 / 5
LCM(260,265) = 13780

Properties of LCM 260 and 265

(i) The LCM of 265 and 260 is associative

LCM of 260 and 265 = LCM of 265 and 260

Related Least Common Multiples of 260

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 260 and 265

1. What is the LCM of 260 and 265?

Answer: LCM of 260 and 265 is 13780.

2. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

3. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. How to Find the LCM of 260 and 265?

Answer:

Least Common Multiple of 260 and 265 = 13780

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 13780 = 2 x 2 x 5 x 13 x 53

Step 4: Therefore, the least common multiple of 260 and 265 is 13780.