Least Common Multiple of 230 and 231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 230 and 231 the smallest integer that is 53130 that is divisible by both numbers.

Least Common Multiple (LCM) of 230 and 231 is 53130.

LCM(230,231) = 53130

LCM of 230 and 231

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

LCM of:
and

Least Common Multiple of 230 and 231

LCM of 230 and 231 is 53130

Least common multiple can be found by multiplying the highest exponent prime factors of 230 and 231. First we will calculate the prime factors of 230 and 231.

Prime Factorization of 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Prime Factorization of 231


3 231
7 77
11 11
1

Prime factors of 231 are 3, 7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 230 and 231.

LCM(230,231) = 21×31×51×71×111×231
LCM(230,231) = 53130

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Least Common Multiple of 230 and 231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 230 and 231, than apply into the LCM equation.

GCF(230,231) = 1
LCM(230,231) = ( 230 × 231) / 1
LCM(230,231) = 53130 / 1
LCM(230,231) = 53130

Properties of LCM 230 and 231

(i) The LCM of 231 and 230 is associative

LCM of 230 and 231 = LCM of 231 and 230

Related Least Common Multiples of 230

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 230 and 231

1. What is the LCM of 230 and 231?

Answer: LCM of 230 and 231 is 53130.

2. What are the Factors of 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

3. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

4. How to Find the LCM of 230 and 231?

Answer:

Least Common Multiple of 230 and 231 = 53130

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

Step 2: Find the prime factorization of 231

231 = 3 x 7 x 11

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

LCM = 53130 = 2 x 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 230 and 231 is 53130.