Least Common Multiple of 5261 and 5269

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 5269 the smallest integer that is 27720209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5261 and 5269 is 27720209.

LCM(5261,5269) = 27720209

LCM of 5261 and 5269

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

LCM of:
and

Least Common Multiple of 5261 and 5269

LCM of 5261 and 5269 is 27720209

Least common multiple can be found by multiplying the highest exponent prime factors of 5261 and 5269. First we will calculate the prime factors of 5261 and 5269.

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 5269


11 5269
479 479
1

Prime factors of 5269 are 11,479. Prime factorization of 5269 in exponential form is:

5269 = 111×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 5261 and 5269.

LCM(5261,5269) = 111×4791×52611
LCM(5261,5269) = 27720209

Factors of 5261

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

1, 5261

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1, 11, 479, 5269

Least Common Multiple of 5261 and 5269 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 5269, than apply into the LCM equation.

GCF(5261,5269) = 1
LCM(5261,5269) = ( 5261 × 5269) / 1
LCM(5261,5269) = 27720209 / 1
LCM(5261,5269) = 27720209

Properties of LCM 5261 and 5269

(i) The LCM of 5269 and 5261 is associative

LCM of 5261 and 5269 = LCM of 5269 and 5261

Related Least Common Multiples of 5261

Related Least Common Multiples of 5269

Frequently Asked Questions on LCM of 5261 and 5269

1. What is the LCM of 5261 and 5269?

Answer: LCM of 5261 and 5269 is 27720209.

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 5269?

Answer: Factors of 5269 are 1, 11, 479, 5269. There are 4 integers that are factors of 5269. The greatest factor of 5269 is 5269.

4. How to Find the LCM of 5261 and 5269?

Answer:

Least Common Multiple of 5261 and 5269 = 27720209

Step 1: Find the prime factorization of 5261

5261 = 5261

Step 2: Find the prime factorization of 5269

5269 = 11 x 479

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

LCM = 27720209 = 11 x 479 x 5261

Step 4: Therefore, the least common multiple of 5261 and 5269 is 27720209.