Least Common Multiple of 5230 and 5231

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 5231 the smallest integer that is 27358130 that is divisible by both numbers.

Least Common Multiple (LCM) of 5230 and 5231 is 27358130.

LCM(5230,5231) = 27358130

LCM of 5230 and 5231

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

LCM of:
and

Least Common Multiple of 5230 and 5231

LCM of 5230 and 5231 is 27358130

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5231. First we will calculate the prime factors of 5230 and 5231.

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 5231


5231 5231
1

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

5231 = 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 5230 and 5231.

LCM(5230,5231) = 21×51×5231×52311
LCM(5230,5231) = 27358130

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 5231

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

1, 5231

Least Common Multiple of 5230 and 5231 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 5231, than apply into the LCM equation.

GCF(5230,5231) = 1
LCM(5230,5231) = ( 5230 × 5231) / 1
LCM(5230,5231) = 27358130 / 1
LCM(5230,5231) = 27358130

Properties of LCM 5230 and 5231

(i) The LCM of 5231 and 5230 is associative

LCM of 5230 and 5231 = LCM of 5231 and 5230

Related Least Common Multiples of 5230

Related Least Common Multiples of 5231

Frequently Asked Questions on LCM of 5230 and 5231

1. What is the LCM of 5230 and 5231?

Answer: LCM of 5230 and 5231 is 27358130.

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 5231?

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

4. How to Find the LCM of 5230 and 5231?

Answer:

Least Common Multiple of 5230 and 5231 = 27358130

Step 1: Find the prime factorization of 5230

5230 = 2 x 5 x 523

Step 2: Find the prime factorization of 5231

5231 = 5231

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

LCM = 27358130 = 2 x 5 x 523 x 5231

Step 4: Therefore, the least common multiple of 5230 and 5231 is 27358130.