Least Common Multiple of 261 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 261 and 265 the smallest integer that is 69165 that is divisible by both numbers.

Least Common Multiple (LCM) of 261 and 265 is 69165.

LCM(261,265) = 69165

LCM of 261 and 265

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

LCM of:
and

Least Common Multiple of 261 and 265

LCM of 261 and 265 is 69165

Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 265. First we will calculate the prime factors of 261 and 265.

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

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 261 and 265.

LCM(261,265) = 32×51×291×531
LCM(261,265) = 69165

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Factors of 265

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

1, 5, 53, 265

Least Common Multiple of 261 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 261 and 265, than apply into the LCM equation.

GCF(261,265) = 1
LCM(261,265) = ( 261 × 265) / 1
LCM(261,265) = 69165 / 1
LCM(261,265) = 69165

Properties of LCM 261 and 265

(i) The LCM of 265 and 261 is associative

LCM of 261 and 265 = LCM of 265 and 261

Related Least Common Multiples of 261

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 261 and 265

1. What is the LCM of 261 and 265?

Answer: LCM of 261 and 265 is 69165.

2. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

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 261 and 265?

Answer:

Least Common Multiple of 261 and 265 = 69165

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

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 = 69165 = 3 x 3 x 5 x 29 x 53

Step 4: Therefore, the least common multiple of 261 and 265 is 69165.