Least Common Multiple of 231 and 233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 231 and 233 the smallest integer that is 53823 that is divisible by both numbers.

Least Common Multiple (LCM) of 231 and 233 is 53823.

LCM(231,233) = 53823

LCM of 231 and 233

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

LCM of:
and

Least Common Multiple of 231 and 233

LCM of 231 and 233 is 53823

Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 233. First we will calculate the prime factors of 231 and 233.

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

Prime Factorization of 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 233.

LCM(231,233) = 31×71×111×2331
LCM(231,233) = 53823

Factors of 231

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

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

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Least Common Multiple of 231 and 233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 233, than apply into the LCM equation.

GCF(231,233) = 1
LCM(231,233) = ( 231 × 233) / 1
LCM(231,233) = 53823 / 1
LCM(231,233) = 53823

Properties of LCM 231 and 233

(i) The LCM of 233 and 231 is associative

LCM of 231 and 233 = LCM of 233 and 231

Related Least Common Multiples of 231

Related Least Common Multiples of 233

Frequently Asked Questions on LCM of 231 and 233

1. What is the LCM of 231 and 233?

Answer: LCM of 231 and 233 is 53823.

2. 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.

3. What are the Factors of 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

4. How to Find the LCM of 231 and 233?

Answer:

Least Common Multiple of 231 and 233 = 53823

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 233

233 = 233

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

LCM = 53823 = 3 x 7 x 11 x 233

Step 4: Therefore, the least common multiple of 231 and 233 is 53823.