Least Common Multiple of 231 and 237

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 237 the smallest integer that is 18249 that is divisible by both numbers.

Least Common Multiple (LCM) of 231 and 237 is 18249.

LCM(231,237) = 18249

LCM of 231 and 237

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

LCM of:
and

Least Common Multiple of 231 and 237

LCM of 231 and 237 is 18249

Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 237. First we will calculate the prime factors of 231 and 237.

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 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 237.

LCM(231,237) = 31×71×111×791
LCM(231,237) = 18249

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 237

List of positive integer factors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Least Common Multiple of 231 and 237 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 237, than apply into the LCM equation.

GCF(231,237) = 3
LCM(231,237) = ( 231 × 237) / 3
LCM(231,237) = 54747 / 3
LCM(231,237) = 18249

Properties of LCM 231 and 237

(i) The LCM of 237 and 231 is associative

LCM of 231 and 237 = LCM of 237 and 231

Related Least Common Multiples of 231

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 231 and 237

1. What is the LCM of 231 and 237?

Answer: LCM of 231 and 237 is 18249.

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 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

4. How to Find the LCM of 231 and 237?

Answer:

Least Common Multiple of 231 and 237 = 18249

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 237

237 = 3 x 79

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

LCM = 18249 = 3 x 7 x 11 x 79

Step 4: Therefore, the least common multiple of 231 and 237 is 18249.