Least Common Multiple of 5261 and 5265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5261 and 5265 the smallest integer that is 27699165 that is divisible by both numbers.

Least Common Multiple (LCM) of 5261 and 5265 is 27699165.

LCM(5261,5265) = 27699165

LCM of 5261 and 5265

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

LCM of:
and

Least Common Multiple of 5261 and 5265

LCM of 5261 and 5265 is 27699165

Least common multiple can be found by multiplying the highest exponent prime factors of 5261 and 5265. First we will calculate the prime factors of 5261 and 5265.

Prime Factorization of 5261


5261 5261
1

Prime factors of 5261 are 5261. Prime factorization of 5261 in exponential form is:

5261 = 52611

Prime Factorization of 5265


3 5265
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 5265 are 3, 5,13. Prime factorization of 5265 in exponential form is:

5265 = 34×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5261 and 5265.

LCM(5261,5265) = 34×51×131×52611
LCM(5261,5265) = 27699165

Factors of 5261

List of positive integer factors of 5261 that divides 5261 without a remainder.

1, 5261

Factors of 5265

List of positive integer factors of 5265 that divides 5265 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265

Least Common Multiple of 5261 and 5265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5261 and 5265, than apply into the LCM equation.

GCF(5261,5265) = 1
LCM(5261,5265) = ( 5261 × 5265) / 1
LCM(5261,5265) = 27699165 / 1
LCM(5261,5265) = 27699165

Properties of LCM 5261 and 5265

(i) The LCM of 5265 and 5261 is associative

LCM of 5261 and 5265 = LCM of 5265 and 5261

Related Least Common Multiples of 5261

Related Least Common Multiples of 5265

Frequently Asked Questions on LCM of 5261 and 5265

1. What is the LCM of 5261 and 5265?

Answer: LCM of 5261 and 5265 is 27699165.

2. What are the Factors of 5261?

Answer: Factors of 5261 are 1, 5261. There are 2 integers that are factors of 5261. The greatest factor of 5261 is 5261.

3. What are the Factors of 5265?

Answer: Factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265. There are 20 integers that are factors of 5265. The greatest factor of 5265 is 5265.

4. How to Find the LCM of 5261 and 5265?

Answer:

Least Common Multiple of 5261 and 5265 = 27699165

Step 1: Find the prime factorization of 5261

5261 = 5261

Step 2: Find the prime factorization of 5265

5265 = 3 x 3 x 3 x 3 x 5 x 13

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

LCM = 27699165 = 3 x 3 x 3 x 3 x 5 x 13 x 5261

Step 4: Therefore, the least common multiple of 5261 and 5265 is 27699165.