Least Common Multiple of 5277 and 5281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5277 and 5281 the smallest integer that is 27867837 that is divisible by both numbers.

Least Common Multiple (LCM) of 5277 and 5281 is 27867837.

LCM(5277,5281) = 27867837

LCM of 5277 and 5281

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

LCM of:
and

Least Common Multiple of 5277 and 5281

LCM of 5277 and 5281 is 27867837

Least common multiple can be found by multiplying the highest exponent prime factors of 5277 and 5281. First we will calculate the prime factors of 5277 and 5281.

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

Prime Factorization of 5281


5281 5281
1

Prime factors of 5281 are 5281. Prime factorization of 5281 in exponential form is:

5281 = 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 5277 and 5281.

LCM(5277,5281) = 31×17591×52811
LCM(5277,5281) = 27867837

Factors of 5277

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

1, 3, 1759, 5277

Factors of 5281

List of positive integer factors of 5281 that divides 5281 without a remainder.

1, 5281

Least Common Multiple of 5277 and 5281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5277 and 5281, than apply into the LCM equation.

GCF(5277,5281) = 1
LCM(5277,5281) = ( 5277 × 5281) / 1
LCM(5277,5281) = 27867837 / 1
LCM(5277,5281) = 27867837

Properties of LCM 5277 and 5281

(i) The LCM of 5281 and 5277 is associative

LCM of 5277 and 5281 = LCM of 5281 and 5277

Related Least Common Multiples of 5277

Related Least Common Multiples of 5281

Frequently Asked Questions on LCM of 5277 and 5281

1. What is the LCM of 5277 and 5281?

Answer: LCM of 5277 and 5281 is 27867837.

2. 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.

3. What are the Factors of 5281?

Answer: Factors of 5281 are 1, 5281. There are 2 integers that are factors of 5281. The greatest factor of 5281 is 5281.

4. How to Find the LCM of 5277 and 5281?

Answer:

Least Common Multiple of 5277 and 5281 = 27867837

Step 1: Find the prime factorization of 5277

5277 = 3 x 1759

Step 2: Find the prime factorization of 5281

5281 = 5281

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

LCM = 27867837 = 3 x 1759 x 5281

Step 4: Therefore, the least common multiple of 5277 and 5281 is 27867837.