Least Common Multiple of 229 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 229 and 231 the smallest integer that is 52899 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 231 is 52899.

LCM(229,231) = 52899

LCM of 229 and 231

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

LCM of:
and

Least Common Multiple of 229 and 231

LCM of 229 and 231 is 52899

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 231. First we will calculate the prime factors of 229 and 231.

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

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 229 and 231.

LCM(229,231) = 31×71×111×2291
LCM(229,231) = 52899

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

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 229 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 229 and 231, than apply into the LCM equation.

GCF(229,231) = 1
LCM(229,231) = ( 229 × 231) / 1
LCM(229,231) = 52899 / 1
LCM(229,231) = 52899

Properties of LCM 229 and 231

(i) The LCM of 231 and 229 is associative

LCM of 229 and 231 = LCM of 231 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 229 and 231

1. What is the LCM of 229 and 231?

Answer: LCM of 229 and 231 is 52899.

2. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

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 229 and 231?

Answer:

Least Common Multiple of 229 and 231 = 52899

Step 1: Find the prime factorization of 229

229 = 229

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 = 52899 = 3 x 7 x 11 x 229

Step 4: Therefore, the least common multiple of 229 and 231 is 52899.