Least Common Multiple of 5271 and 5277

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 5277 the smallest integer that is 9271689 that is divisible by both numbers.

Least Common Multiple (LCM) of 5271 and 5277 is 9271689.

LCM(5271,5277) = 9271689

LCM of 5271 and 5277

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

LCM of:
and

Least Common Multiple of 5271 and 5277

LCM of 5271 and 5277 is 9271689

Least common multiple can be found by multiplying the highest exponent prime factors of 5271 and 5277. First we will calculate the prime factors of 5271 and 5277.

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 5277


3 5277
1759 1759
1

Prime factors of 5277 are 3,1759. Prime factorization of 5277 in exponential form is:

5277 = 31×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 5271 and 5277.

LCM(5271,5277) = 31×71×2511×17591
LCM(5271,5277) = 9271689

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 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1, 3, 1759, 5277

Least Common Multiple of 5271 and 5277 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 5277, than apply into the LCM equation.

GCF(5271,5277) = 3
LCM(5271,5277) = ( 5271 × 5277) / 3
LCM(5271,5277) = 27815067 / 3
LCM(5271,5277) = 9271689

Properties of LCM 5271 and 5277

(i) The LCM of 5277 and 5271 is associative

LCM of 5271 and 5277 = LCM of 5277 and 5271

Related Least Common Multiples of 5271

Related Least Common Multiples of 5277

Frequently Asked Questions on LCM of 5271 and 5277

1. What is the LCM of 5271 and 5277?

Answer: LCM of 5271 and 5277 is 9271689.

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 5277?

Answer: Factors of 5277 are 1, 3, 1759, 5277. There are 4 integers that are factors of 5277. The greatest factor of 5277 is 5277.

4. How to Find the LCM of 5271 and 5277?

Answer:

Least Common Multiple of 5271 and 5277 = 9271689

Step 1: Find the prime factorization of 5271

5271 = 3 x 7 x 251

Step 2: Find the prime factorization of 5277

5277 = 3 x 1759

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

LCM = 9271689 = 3 x 7 x 251 x 1759

Step 4: Therefore, the least common multiple of 5271 and 5277 is 9271689.