Least Common Multiple of 231 and 234

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 234 the smallest integer that is 18018 that is divisible by both numbers.

Least Common Multiple (LCM) of 231 and 234 is 18018.

LCM(231,234) = 18018

LCM of 231 and 234

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

LCM of:
and

Least Common Multiple of 231 and 234

LCM of 231 and 234 is 18018

Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 234. First we will calculate the prime factors of 231 and 234.

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 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 234.

LCM(231,234) = 21×32×71×111×131
LCM(231,234) = 18018

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 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Least Common Multiple of 231 and 234 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 234, than apply into the LCM equation.

GCF(231,234) = 3
LCM(231,234) = ( 231 × 234) / 3
LCM(231,234) = 54054 / 3
LCM(231,234) = 18018

Properties of LCM 231 and 234

(i) The LCM of 234 and 231 is associative

LCM of 231 and 234 = LCM of 234 and 231

Related Least Common Multiples of 231

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 231 and 234

1. What is the LCM of 231 and 234?

Answer: LCM of 231 and 234 is 18018.

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 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. How to Find the LCM of 231 and 234?

Answer:

Least Common Multiple of 231 and 234 = 18018

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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

LCM = 18018 = 2 x 3 x 3 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 231 and 234 is 18018.