Least Common Multiple of 228 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 228 and 231 the smallest integer that is 17556 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 231 is 17556.

LCM(228,231) = 17556

LCM of 228 and 231

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

LCM of:
and

Least Common Multiple of 228 and 231

LCM of 228 and 231 is 17556

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 231. First we will calculate the prime factors of 228 and 231.

Prime Factorization of 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

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 228 and 231.

LCM(228,231) = 22×31×71×111×191
LCM(228,231) = 17556

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 228 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 228 and 231, than apply into the LCM equation.

GCF(228,231) = 3
LCM(228,231) = ( 228 × 231) / 3
LCM(228,231) = 52668 / 3
LCM(228,231) = 17556

Properties of LCM 228 and 231

(i) The LCM of 231 and 228 is associative

LCM of 228 and 231 = LCM of 231 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 228 and 231

1. What is the LCM of 228 and 231?

Answer: LCM of 228 and 231 is 17556.

2. What are the Factors of 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

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 228 and 231?

Answer:

Least Common Multiple of 228 and 231 = 17556

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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 = 17556 = 2 x 2 x 3 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 228 and 231 is 17556.