Least Common Multiple of 5239 and 5247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5239 and 5247 the smallest integer that is 27489033 that is divisible by both numbers.

Least Common Multiple (LCM) of 5239 and 5247 is 27489033.

LCM(5239,5247) = 27489033

LCM of 5239 and 5247

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

LCM of:
and

Least Common Multiple of 5239 and 5247

LCM of 5239 and 5247 is 27489033

Least common multiple can be found by multiplying the highest exponent prime factors of 5239 and 5247. First we will calculate the prime factors of 5239 and 5247.

Prime Factorization of 5239


13 5239
13 403
31 31
1

Prime factors of 5239 are 13,31. Prime factorization of 5239 in exponential form is:

5239 = 132×311

Prime Factorization of 5247


3 5247
3 1749
11 583
53 53
1

Prime factors of 5247 are 3, 11,53. Prime factorization of 5247 in exponential form is:

5247 = 32×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5239 and 5247.

LCM(5239,5247) = 32×111×132×311×531
LCM(5239,5247) = 27489033

Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1, 13, 31, 169, 403, 5239

Factors of 5247

List of positive integer factors of 5247 that divides 5247 without a remainder.

1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247

Least Common Multiple of 5239 and 5247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5239 and 5247, than apply into the LCM equation.

GCF(5239,5247) = 1
LCM(5239,5247) = ( 5239 × 5247) / 1
LCM(5239,5247) = 27489033 / 1
LCM(5239,5247) = 27489033

Properties of LCM 5239 and 5247

(i) The LCM of 5247 and 5239 is associative

LCM of 5239 and 5247 = LCM of 5247 and 5239

Related Least Common Multiples of 5239

Related Least Common Multiples of 5247

Frequently Asked Questions on LCM of 5239 and 5247

1. What is the LCM of 5239 and 5247?

Answer: LCM of 5239 and 5247 is 27489033.

2. What are the Factors of 5239?

Answer: Factors of 5239 are 1, 13, 31, 169, 403, 5239. There are 6 integers that are factors of 5239. The greatest factor of 5239 is 5239.

3. What are the Factors of 5247?

Answer: Factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247. There are 12 integers that are factors of 5247. The greatest factor of 5247 is 5247.

4. How to Find the LCM of 5239 and 5247?

Answer:

Least Common Multiple of 5239 and 5247 = 27489033

Step 1: Find the prime factorization of 5239

5239 = 13 x 13 x 31

Step 2: Find the prime factorization of 5247

5247 = 3 x 3 x 11 x 53

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

LCM = 27489033 = 3 x 3 x 11 x 13 x 13 x 31 x 53

Step 4: Therefore, the least common multiple of 5239 and 5247 is 27489033.