Least Common Multiple of 5271 and 5276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5271 and 5276 the smallest integer that is 27809796 that is divisible by both numbers.

Least Common Multiple (LCM) of 5271 and 5276 is 27809796.

LCM(5271,5276) = 27809796

LCM of 5271 and 5276

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

LCM of:
and

Least Common Multiple of 5271 and 5276

LCM of 5271 and 5276 is 27809796

Least common multiple can be found by multiplying the highest exponent prime factors of 5271 and 5276. First we will calculate the prime factors of 5271 and 5276.

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

Prime Factorization of 5276


2 5276
2 2638
1319 1319
1

Prime factors of 5276 are 2,1319. Prime factorization of 5276 in exponential form is:

5276 = 22×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 5271 and 5276.

LCM(5271,5276) = 22×31×71×2511×13191
LCM(5271,5276) = 27809796

Factors of 5271

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

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

Factors of 5276

List of positive integer factors of 5276 that divides 5276 without a remainder.

1, 2, 4, 1319, 2638, 5276

Least Common Multiple of 5271 and 5276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5271 and 5276, than apply into the LCM equation.

GCF(5271,5276) = 1
LCM(5271,5276) = ( 5271 × 5276) / 1
LCM(5271,5276) = 27809796 / 1
LCM(5271,5276) = 27809796

Properties of LCM 5271 and 5276

(i) The LCM of 5276 and 5271 is associative

LCM of 5271 and 5276 = LCM of 5276 and 5271

Related Least Common Multiples of 5271

Related Least Common Multiples of 5276

Frequently Asked Questions on LCM of 5271 and 5276

1. What is the LCM of 5271 and 5276?

Answer: LCM of 5271 and 5276 is 27809796.

2. 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.

3. What are the Factors of 5276?

Answer: Factors of 5276 are 1, 2, 4, 1319, 2638, 5276. There are 6 integers that are factors of 5276. The greatest factor of 5276 is 5276.

4. How to Find the LCM of 5271 and 5276?

Answer:

Least Common Multiple of 5271 and 5276 = 27809796

Step 1: Find the prime factorization of 5271

5271 = 3 x 7 x 251

Step 2: Find the prime factorization of 5276

5276 = 2 x 2 x 1319

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

LCM = 27809796 = 2 x 2 x 3 x 7 x 251 x 1319

Step 4: Therefore, the least common multiple of 5271 and 5276 is 27809796.