Least Common Multiple of 5261 and 5267

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 5267 the smallest integer that is 27709687 that is divisible by both numbers.

Least Common Multiple (LCM) of 5261 and 5267 is 27709687.

LCM(5261,5267) = 27709687

LCM of 5261 and 5267

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

LCM of:
and

Least Common Multiple of 5261 and 5267

LCM of 5261 and 5267 is 27709687

Least common multiple can be found by multiplying the highest exponent prime factors of 5261 and 5267. First we will calculate the prime factors of 5261 and 5267.

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 5267


23 5267
229 229
1

Prime factors of 5267 are 23,229. Prime factorization of 5267 in exponential form is:

5267 = 231×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5261 and 5267.

LCM(5261,5267) = 231×2291×52611
LCM(5261,5267) = 27709687

Factors of 5261

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

1, 5261

Factors of 5267

List of positive integer factors of 5267 that divides 5267 without a remainder.

1, 23, 229, 5267

Least Common Multiple of 5261 and 5267 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 5267, than apply into the LCM equation.

GCF(5261,5267) = 1
LCM(5261,5267) = ( 5261 × 5267) / 1
LCM(5261,5267) = 27709687 / 1
LCM(5261,5267) = 27709687

Properties of LCM 5261 and 5267

(i) The LCM of 5267 and 5261 is associative

LCM of 5261 and 5267 = LCM of 5267 and 5261

Related Least Common Multiples of 5261

Related Least Common Multiples of 5267

Frequently Asked Questions on LCM of 5261 and 5267

1. What is the LCM of 5261 and 5267?

Answer: LCM of 5261 and 5267 is 27709687.

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 5267?

Answer: Factors of 5267 are 1, 23, 229, 5267. There are 4 integers that are factors of 5267. The greatest factor of 5267 is 5267.

4. How to Find the LCM of 5261 and 5267?

Answer:

Least Common Multiple of 5261 and 5267 = 27709687

Step 1: Find the prime factorization of 5261

5261 = 5261

Step 2: Find the prime factorization of 5267

5267 = 23 x 229

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

LCM = 27709687 = 23 x 229 x 5261

Step 4: Therefore, the least common multiple of 5261 and 5267 is 27709687.