Least Common Multiple of 5231 and 5238

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 5238 the smallest integer that is 27399978 that is divisible by both numbers.

Least Common Multiple (LCM) of 5231 and 5238 is 27399978.

LCM(5231,5238) = 27399978

LCM of 5231 and 5238

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

LCM of:
and

Least Common Multiple of 5231 and 5238

LCM of 5231 and 5238 is 27399978

Least common multiple can be found by multiplying the highest exponent prime factors of 5231 and 5238. First we will calculate the prime factors of 5231 and 5238.

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 5238


2 5238
3 2619
3 873
3 291
97 97
1

Prime factors of 5238 are 2, 3,97. Prime factorization of 5238 in exponential form is:

5238 = 21×33×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5231 and 5238.

LCM(5231,5238) = 21×33×971×52311
LCM(5231,5238) = 27399978

Factors of 5231

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

1, 5231

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238

Least Common Multiple of 5231 and 5238 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 5238, than apply into the LCM equation.

GCF(5231,5238) = 1
LCM(5231,5238) = ( 5231 × 5238) / 1
LCM(5231,5238) = 27399978 / 1
LCM(5231,5238) = 27399978

Properties of LCM 5231 and 5238

(i) The LCM of 5238 and 5231 is associative

LCM of 5231 and 5238 = LCM of 5238 and 5231

Related Least Common Multiples of 5231

Related Least Common Multiples of 5238

Frequently Asked Questions on LCM of 5231 and 5238

1. What is the LCM of 5231 and 5238?

Answer: LCM of 5231 and 5238 is 27399978.

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 5238?

Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.

4. How to Find the LCM of 5231 and 5238?

Answer:

Least Common Multiple of 5231 and 5238 = 27399978

Step 1: Find the prime factorization of 5231

5231 = 5231

Step 2: Find the prime factorization of 5238

5238 = 2 x 3 x 3 x 3 x 97

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

LCM = 27399978 = 2 x 3 x 3 x 3 x 97 x 5231

Step 4: Therefore, the least common multiple of 5231 and 5238 is 27399978.