Least Common Multiple of 8223 and 8228

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 8228 the smallest integer that is 67658844 that is divisible by both numbers.

Least Common Multiple (LCM) of 8223 and 8228 is 67658844.

LCM(8223,8228) = 67658844

LCM of 8223 and 8228

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

LCM of:
and

Least Common Multiple of 8223 and 8228

LCM of 8223 and 8228 is 67658844

Least common multiple can be found by multiplying the highest exponent prime factors of 8223 and 8228. First we will calculate the prime factors of 8223 and 8228.

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 8228


2 8228
2 4114
11 2057
11 187
17 17
1

Prime factors of 8228 are 2, 11,17. Prime factorization of 8228 in exponential form is:

8228 = 22×112×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8223 and 8228.

LCM(8223,8228) = 22×31×112×171×27411
LCM(8223,8228) = 67658844

Factors of 8223

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

1, 3, 2741, 8223

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228

Least Common Multiple of 8223 and 8228 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 8228, than apply into the LCM equation.

GCF(8223,8228) = 1
LCM(8223,8228) = ( 8223 × 8228) / 1
LCM(8223,8228) = 67658844 / 1
LCM(8223,8228) = 67658844

Properties of LCM 8223 and 8228

(i) The LCM of 8228 and 8223 is associative

LCM of 8223 and 8228 = LCM of 8228 and 8223

Related Least Common Multiples of 8223

Related Least Common Multiples of 8228

Frequently Asked Questions on LCM of 8223 and 8228

1. What is the LCM of 8223 and 8228?

Answer: LCM of 8223 and 8228 is 67658844.

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 8228?

Answer: Factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228. There are 18 integers that are factors of 8228. The greatest factor of 8228 is 8228.

4. How to Find the LCM of 8223 and 8228?

Answer:

Least Common Multiple of 8223 and 8228 = 67658844

Step 1: Find the prime factorization of 8223

8223 = 3 x 2741

Step 2: Find the prime factorization of 8228

8228 = 2 x 2 x 11 x 11 x 17

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

LCM = 67658844 = 2 x 2 x 3 x 11 x 11 x 17 x 2741

Step 4: Therefore, the least common multiple of 8223 and 8228 is 67658844.