Least Common Multiple of 8223 and 8231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8223 and 8231 the smallest integer that is 67683513 that is divisible by both numbers.

Least Common Multiple (LCM) of 8223 and 8231 is 67683513.

LCM(8223,8231) = 67683513

LCM of 8223 and 8231

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

LCM of:
and

Least Common Multiple of 8223 and 8231

LCM of 8223 and 8231 is 67683513

Least common multiple can be found by multiplying the highest exponent prime factors of 8223 and 8231. First we will calculate the prime factors of 8223 and 8231.

Prime Factorization of 8223


3 8223
2741 2741
1

Prime factors of 8223 are 3,2741. Prime factorization of 8223 in exponential form is:

8223 = 31×27411

Prime Factorization of 8231


8231 8231
1

Prime factors of 8231 are 8231. Prime factorization of 8231 in exponential form is:

8231 = 82311

Now multiplying the highest exponent prime factors to calculate the LCM of 8223 and 8231.

LCM(8223,8231) = 31×27411×82311
LCM(8223,8231) = 67683513

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1, 3, 2741, 8223

Factors of 8231

List of positive integer factors of 8231 that divides 8231 without a remainder.

1, 8231

Least Common Multiple of 8223 and 8231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8223 and 8231, than apply into the LCM equation.

GCF(8223,8231) = 1
LCM(8223,8231) = ( 8223 × 8231) / 1
LCM(8223,8231) = 67683513 / 1
LCM(8223,8231) = 67683513

Properties of LCM 8223 and 8231

(i) The LCM of 8231 and 8223 is associative

LCM of 8223 and 8231 = LCM of 8231 and 8223

Related Least Common Multiples of 8223

Related Least Common Multiples of 8231

Frequently Asked Questions on LCM of 8223 and 8231

1. What is the LCM of 8223 and 8231?

Answer: LCM of 8223 and 8231 is 67683513.

2. What are the Factors of 8223?

Answer: Factors of 8223 are 1, 3, 2741, 8223. There are 4 integers that are factors of 8223. The greatest factor of 8223 is 8223.

3. What are the Factors of 8231?

Answer: Factors of 8231 are 1, 8231. There are 2 integers that are factors of 8231. The greatest factor of 8231 is 8231.

4. How to Find the LCM of 8223 and 8231?

Answer:

Least Common Multiple of 8223 and 8231 = 67683513

Step 1: Find the prime factorization of 8223

8223 = 3 x 2741

Step 2: Find the prime factorization of 8231

8231 = 8231

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

LCM = 67683513 = 3 x 2741 x 8231

Step 4: Therefore, the least common multiple of 8223 and 8231 is 67683513.