Least Common Multiple of 5231 and 5239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5231 and 5239 the smallest integer that is 27405209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5231 and 5239 is 27405209.

LCM(5231,5239) = 27405209

LCM of 5231 and 5239

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

LCM of:
and

Least Common Multiple of 5231 and 5239

LCM of 5231 and 5239 is 27405209

Least common multiple can be found by multiplying the highest exponent prime factors of 5231 and 5239. First we will calculate the prime factors of 5231 and 5239.

Prime Factorization of 5231


5231 5231
1

Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:

5231 = 52311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5231 and 5239.

LCM(5231,5239) = 132×311×52311
LCM(5231,5239) = 27405209

Factors of 5231

List of positive integer factors of 5231 that divides 5231 without a remainder.

1, 5231

Factors of 5239

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

1, 13, 31, 169, 403, 5239

Least Common Multiple of 5231 and 5239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5231 and 5239, than apply into the LCM equation.

GCF(5231,5239) = 1
LCM(5231,5239) = ( 5231 × 5239) / 1
LCM(5231,5239) = 27405209 / 1
LCM(5231,5239) = 27405209

Properties of LCM 5231 and 5239

(i) The LCM of 5239 and 5231 is associative

LCM of 5231 and 5239 = LCM of 5239 and 5231

Related Least Common Multiples of 5231

Related Least Common Multiples of 5239

Frequently Asked Questions on LCM of 5231 and 5239

1. What is the LCM of 5231 and 5239?

Answer: LCM of 5231 and 5239 is 27405209.

2. What are the Factors of 5231?

Answer: Factors of 5231 are 1, 5231. There are 2 integers that are factors of 5231. The greatest factor of 5231 is 5231.

3. 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.

4. How to Find the LCM of 5231 and 5239?

Answer:

Least Common Multiple of 5231 and 5239 = 27405209

Step 1: Find the prime factorization of 5231

5231 = 5231

Step 2: Find the prime factorization of 5239

5239 = 13 x 13 x 31

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

LCM = 27405209 = 13 x 13 x 31 x 5231

Step 4: Therefore, the least common multiple of 5231 and 5239 is 27405209.