Least Common Multiple of 8228 and 8232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8228 and 8232 the smallest integer that is 16933224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8228 and 8232 is 16933224.

LCM(8228,8232) = 16933224

LCM of 8228 and 8232

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

LCM of:
and

Least Common Multiple of 8228 and 8232

LCM of 8228 and 8232 is 16933224

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8232. First we will calculate the prime factors of 8228 and 8232.

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

Prime Factorization of 8232


2 8232
2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 8232 are 2, 3,7. Prime factorization of 8232 in exponential form is:

8232 = 23×31×73

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8232.

LCM(8228,8232) = 23×31×73×112×171
LCM(8228,8232) = 16933224

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

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

Least Common Multiple of 8228 and 8232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8228 and 8232, than apply into the LCM equation.

GCF(8228,8232) = 4
LCM(8228,8232) = ( 8228 × 8232) / 4
LCM(8228,8232) = 67732896 / 4
LCM(8228,8232) = 16933224

Properties of LCM 8228 and 8232

(i) The LCM of 8232 and 8228 is associative

LCM of 8228 and 8232 = LCM of 8232 and 8228

Related Least Common Multiples of 8228

Related Least Common Multiples of 8232

Frequently Asked Questions on LCM of 8228 and 8232

1. What is the LCM of 8228 and 8232?

Answer: LCM of 8228 and 8232 is 16933224.

2. 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.

3. What are the Factors of 8232?

Answer: Factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232. There are 32 integers that are factors of 8232. The greatest factor of 8232 is 8232.

4. How to Find the LCM of 8228 and 8232?

Answer:

Least Common Multiple of 8228 and 8232 = 16933224

Step 1: Find the prime factorization of 8228

8228 = 2 x 2 x 11 x 11 x 17

Step 2: Find the prime factorization of 8232

8232 = 2 x 2 x 2 x 3 x 7 x 7 x 7

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

LCM = 16933224 = 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 8228 and 8232 is 16933224.