Least Common Multiple of 15230 and 15231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15230 and 15231 the smallest integer that is 231968130 that is divisible by both numbers.

Least Common Multiple (LCM) of 15230 and 15231 is 231968130.

LCM(15230,15231) = 231968130

LCM of 15230 and 15231

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

LCM of:
and

Least Common Multiple of 15230 and 15231

LCM of 15230 and 15231 is 231968130

Least common multiple can be found by multiplying the highest exponent prime factors of 15230 and 15231. First we will calculate the prime factors of 15230 and 15231.

Prime Factorization of 15230


2 15230
5 7615
1523 1523
1

Prime factors of 15230 are 2, 5,1523. Prime factorization of 15230 in exponential form is:

15230 = 21×51×15231

Prime Factorization of 15231


3 15231
5077 5077
1

Prime factors of 15231 are 3,5077. Prime factorization of 15231 in exponential form is:

15231 = 31×50771

Now multiplying the highest exponent prime factors to calculate the LCM of 15230 and 15231.

LCM(15230,15231) = 21×31×51×15231×50771
LCM(15230,15231) = 231968130

Factors of 15230

List of positive integer factors of 15230 that divides 15230 without a remainder.

1, 2, 5, 10, 1523, 3046, 7615, 15230

Factors of 15231

List of positive integer factors of 15231 that divides 15231 without a remainder.

1, 3, 5077, 15231

Least Common Multiple of 15230 and 15231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15230 and 15231, than apply into the LCM equation.

GCF(15230,15231) = 1
LCM(15230,15231) = ( 15230 × 15231) / 1
LCM(15230,15231) = 231968130 / 1
LCM(15230,15231) = 231968130

Properties of LCM 15230 and 15231

(i) The LCM of 15231 and 15230 is associative

LCM of 15230 and 15231 = LCM of 15231 and 15230

Related Least Common Multiples of 15230

Related Least Common Multiples of 15231

Frequently Asked Questions on LCM of 15230 and 15231

1. What is the LCM of 15230 and 15231?

Answer: LCM of 15230 and 15231 is 231968130.

2. What are the Factors of 15230?

Answer: Factors of 15230 are 1, 2, 5, 10, 1523, 3046, 7615, 15230. There are 8 integers that are factors of 15230. The greatest factor of 15230 is 15230.

3. What are the Factors of 15231?

Answer: Factors of 15231 are 1, 3, 5077, 15231. There are 4 integers that are factors of 15231. The greatest factor of 15231 is 15231.

4. How to Find the LCM of 15230 and 15231?

Answer:

Least Common Multiple of 15230 and 15231 = 231968130

Step 1: Find the prime factorization of 15230

15230 = 2 x 5 x 1523

Step 2: Find the prime factorization of 15231

15231 = 3 x 5077

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

LCM = 231968130 = 2 x 3 x 5 x 1523 x 5077

Step 4: Therefore, the least common multiple of 15230 and 15231 is 231968130.