Least Common Multiple of 5266 and 5271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5266 and 5271 the smallest integer that is 27757086 that is divisible by both numbers.

Least Common Multiple (LCM) of 5266 and 5271 is 27757086.

LCM(5266,5271) = 27757086

LCM of 5266 and 5271

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

LCM of:
and

Least Common Multiple of 5266 and 5271

LCM of 5266 and 5271 is 27757086

Least common multiple can be found by multiplying the highest exponent prime factors of 5266 and 5271. First we will calculate the prime factors of 5266 and 5271.

Prime Factorization of 5266


2 5266
2633 2633
1

Prime factors of 5266 are 2,2633. Prime factorization of 5266 in exponential form is:

5266 = 21×26331

Prime Factorization of 5271


3 5271
7 1757
251 251
1

Prime factors of 5271 are 3, 7,251. Prime factorization of 5271 in exponential form is:

5271 = 31×71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5266 and 5271.

LCM(5266,5271) = 21×31×71×2511×26331
LCM(5266,5271) = 27757086

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1, 2, 2633, 5266

Factors of 5271

List of positive integer factors of 5271 that divides 5271 without a remainder.

1, 3, 7, 21, 251, 753, 1757, 5271

Least Common Multiple of 5266 and 5271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5266 and 5271, than apply into the LCM equation.

GCF(5266,5271) = 1
LCM(5266,5271) = ( 5266 × 5271) / 1
LCM(5266,5271) = 27757086 / 1
LCM(5266,5271) = 27757086

Properties of LCM 5266 and 5271

(i) The LCM of 5271 and 5266 is associative

LCM of 5266 and 5271 = LCM of 5271 and 5266

Related Least Common Multiples of 5266

Related Least Common Multiples of 5271

Frequently Asked Questions on LCM of 5266 and 5271

1. What is the LCM of 5266 and 5271?

Answer: LCM of 5266 and 5271 is 27757086.

2. What are the Factors of 5266?

Answer: Factors of 5266 are 1, 2, 2633, 5266. There are 4 integers that are factors of 5266. The greatest factor of 5266 is 5266.

3. What are the Factors of 5271?

Answer: Factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271. There are 8 integers that are factors of 5271. The greatest factor of 5271 is 5271.

4. How to Find the LCM of 5266 and 5271?

Answer:

Least Common Multiple of 5266 and 5271 = 27757086

Step 1: Find the prime factorization of 5266

5266 = 2 x 2633

Step 2: Find the prime factorization of 5271

5271 = 3 x 7 x 251

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

LCM = 27757086 = 2 x 3 x 7 x 251 x 2633

Step 4: Therefore, the least common multiple of 5266 and 5271 is 27757086.