Least Common Multiple of 227 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 227 and 231 the smallest integer that is 52437 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 231 is 52437.

LCM(227,231) = 52437

LCM of 227 and 231

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

LCM of:
and

Least Common Multiple of 227 and 231

LCM of 227 and 231 is 52437

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 231. First we will calculate the prime factors of 227 and 231.

Prime Factorization of 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

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 227 and 231.

LCM(227,231) = 31×71×111×2271
LCM(227,231) = 52437

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1, 227

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 227 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 227 and 231, than apply into the LCM equation.

GCF(227,231) = 1
LCM(227,231) = ( 227 × 231) / 1
LCM(227,231) = 52437 / 1
LCM(227,231) = 52437

Properties of LCM 227 and 231

(i) The LCM of 231 and 227 is associative

LCM of 227 and 231 = LCM of 231 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 227 and 231

1. What is the LCM of 227 and 231?

Answer: LCM of 227 and 231 is 52437.

2. What are the Factors of 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

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 227 and 231?

Answer:

Least Common Multiple of 227 and 231 = 52437

Step 1: Find the prime factorization of 227

227 = 227

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 = 52437 = 3 x 7 x 11 x 227

Step 4: Therefore, the least common multiple of 227 and 231 is 52437.