Least Common Multiple of 223 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 223 and 231 the smallest integer that is 51513 that is divisible by both numbers.

Least Common Multiple (LCM) of 223 and 231 is 51513.

LCM(223,231) = 51513

LCM of 223 and 231

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

LCM of:
and

Least Common Multiple of 223 and 231

LCM of 223 and 231 is 51513

Least common multiple can be found by multiplying the highest exponent prime factors of 223 and 231. First we will calculate the prime factors of 223 and 231.

Prime Factorization of 223


223 223
1

Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:

223 = 2231

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 223 and 231.

LCM(223,231) = 31×71×111×2231
LCM(223,231) = 51513

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1, 223

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 223 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 223 and 231, than apply into the LCM equation.

GCF(223,231) = 1
LCM(223,231) = ( 223 × 231) / 1
LCM(223,231) = 51513 / 1
LCM(223,231) = 51513

Properties of LCM 223 and 231

(i) The LCM of 231 and 223 is associative

LCM of 223 and 231 = LCM of 231 and 223

Related Least Common Multiples of 223

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 223 and 231

1. What is the LCM of 223 and 231?

Answer: LCM of 223 and 231 is 51513.

2. What are the Factors of 223?

Answer: Factors of 223 are 1, 223. There are 2 integers that are factors of 223. The greatest factor of 223 is 223.

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 223 and 231?

Answer:

Least Common Multiple of 223 and 231 = 51513

Step 1: Find the prime factorization of 223

223 = 223

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 = 51513 = 3 x 7 x 11 x 223

Step 4: Therefore, the least common multiple of 223 and 231 is 51513.