Least Common Multiple of 5269 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 5269 and 5277 the smallest integer that is 27804513 that is divisible by both numbers.

Least Common Multiple (LCM) of 5269 and 5277 is 27804513.

LCM(5269,5277) = 27804513

LCM of 5269 and 5277

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

LCM of:
and

Least Common Multiple of 5269 and 5277

LCM of 5269 and 5277 is 27804513

Least common multiple can be found by multiplying the highest exponent prime factors of 5269 and 5277. First we will calculate the prime factors of 5269 and 5277.

Prime Factorization of 5269


11 5269
479 479
1

Prime factors of 5269 are 11,479. Prime factorization of 5269 in exponential form is:

5269 = 111×4791

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 5269 and 5277.

LCM(5269,5277) = 31×111×4791×17591
LCM(5269,5277) = 27804513

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1, 11, 479, 5269

Factors of 5277

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

1, 3, 1759, 5277

Least Common Multiple of 5269 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 5269 and 5277, than apply into the LCM equation.

GCF(5269,5277) = 1
LCM(5269,5277) = ( 5269 × 5277) / 1
LCM(5269,5277) = 27804513 / 1
LCM(5269,5277) = 27804513

Properties of LCM 5269 and 5277

(i) The LCM of 5277 and 5269 is associative

LCM of 5269 and 5277 = LCM of 5277 and 5269

Related Least Common Multiples of 5269

Related Least Common Multiples of 5277

Frequently Asked Questions on LCM of 5269 and 5277

1. What is the LCM of 5269 and 5277?

Answer: LCM of 5269 and 5277 is 27804513.

2. What are the Factors of 5269?

Answer: Factors of 5269 are 1, 11, 479, 5269. There are 4 integers that are factors of 5269. The greatest factor of 5269 is 5269.

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 5269 and 5277?

Answer:

Least Common Multiple of 5269 and 5277 = 27804513

Step 1: Find the prime factorization of 5269

5269 = 11 x 479

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 = 27804513 = 3 x 11 x 479 x 1759

Step 4: Therefore, the least common multiple of 5269 and 5277 is 27804513.