Least Common Multiple of 5234 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 5234 and 5238 the smallest integer that is 13707846 that is divisible by both numbers.

Least Common Multiple (LCM) of 5234 and 5238 is 13707846.

LCM(5234,5238) = 13707846

LCM of 5234 and 5238

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

LCM of:
and

Least Common Multiple of 5234 and 5238

LCM of 5234 and 5238 is 13707846

Least common multiple can be found by multiplying the highest exponent prime factors of 5234 and 5238. First we will calculate the prime factors of 5234 and 5238.

Prime Factorization of 5234


2 5234
2617 2617
1

Prime factors of 5234 are 2,2617. Prime factorization of 5234 in exponential form is:

5234 = 21×26171

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 5234 and 5238.

LCM(5234,5238) = 21×33×971×26171
LCM(5234,5238) = 13707846

Factors of 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1, 2, 2617, 5234

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 5234 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 5234 and 5238, than apply into the LCM equation.

GCF(5234,5238) = 2
LCM(5234,5238) = ( 5234 × 5238) / 2
LCM(5234,5238) = 27415692 / 2
LCM(5234,5238) = 13707846

Properties of LCM 5234 and 5238

(i) The LCM of 5238 and 5234 is associative

LCM of 5234 and 5238 = LCM of 5238 and 5234

Related Least Common Multiples of 5234

Related Least Common Multiples of 5238

Frequently Asked Questions on LCM of 5234 and 5238

1. What is the LCM of 5234 and 5238?

Answer: LCM of 5234 and 5238 is 13707846.

2. What are the Factors of 5234?

Answer: Factors of 5234 are 1, 2, 2617, 5234. There are 4 integers that are factors of 5234. The greatest factor of 5234 is 5234.

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 5234 and 5238?

Answer:

Least Common Multiple of 5234 and 5238 = 13707846

Step 1: Find the prime factorization of 5234

5234 = 2 x 2617

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 = 13707846 = 2 x 3 x 3 x 3 x 97 x 2617

Step 4: Therefore, the least common multiple of 5234 and 5238 is 13707846.