Least Common Multiple of 5230 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 5230 and 5238 the smallest integer that is 13697370 that is divisible by both numbers.

Least Common Multiple (LCM) of 5230 and 5238 is 13697370.

LCM(5230,5238) = 13697370

LCM of 5230 and 5238

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

LCM of:
and

Least Common Multiple of 5230 and 5238

LCM of 5230 and 5238 is 13697370

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5238. First we will calculate the prime factors of 5230 and 5238.

Prime Factorization of 5230


2 5230
5 2615
523 523
1

Prime factors of 5230 are 2, 5,523. Prime factorization of 5230 in exponential form is:

5230 = 21×51×5231

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 5230 and 5238.

LCM(5230,5238) = 21×33×51×971×5231
LCM(5230,5238) = 13697370

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1, 2, 5, 10, 523, 1046, 2615, 5230

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 5230 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 5230 and 5238, than apply into the LCM equation.

GCF(5230,5238) = 2
LCM(5230,5238) = ( 5230 × 5238) / 2
LCM(5230,5238) = 27394740 / 2
LCM(5230,5238) = 13697370

Properties of LCM 5230 and 5238

(i) The LCM of 5238 and 5230 is associative

LCM of 5230 and 5238 = LCM of 5238 and 5230

Related Least Common Multiples of 5230

Related Least Common Multiples of 5238

Frequently Asked Questions on LCM of 5230 and 5238

1. What is the LCM of 5230 and 5238?

Answer: LCM of 5230 and 5238 is 13697370.

2. What are the Factors of 5230?

Answer: Factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230. There are 8 integers that are factors of 5230. The greatest factor of 5230 is 5230.

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 5230 and 5238?

Answer:

Least Common Multiple of 5230 and 5238 = 13697370

Step 1: Find the prime factorization of 5230

5230 = 2 x 5 x 523

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 = 13697370 = 2 x 3 x 3 x 3 x 5 x 97 x 523

Step 4: Therefore, the least common multiple of 5230 and 5238 is 13697370.