Least Common Multiple of 8224 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 8224 and 8228 the smallest integer that is 16916768 that is divisible by both numbers.

Least Common Multiple (LCM) of 8224 and 8228 is 16916768.

LCM(8224,8228) = 16916768

LCM of 8224 and 8228

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

LCM of:
and

Least Common Multiple of 8224 and 8228

LCM of 8224 and 8228 is 16916768

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8228. First we will calculate the prime factors of 8224 and 8228.

Prime Factorization of 8224


2 8224
2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 8224 are 2,257. Prime factorization of 8224 in exponential form is:

8224 = 25×2571

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 8224 and 8228.

LCM(8224,8228) = 25×112×171×2571
LCM(8224,8228) = 16916768

Factors of 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224

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 8224 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 8224 and 8228, than apply into the LCM equation.

GCF(8224,8228) = 4
LCM(8224,8228) = ( 8224 × 8228) / 4
LCM(8224,8228) = 67667072 / 4
LCM(8224,8228) = 16916768

Properties of LCM 8224 and 8228

(i) The LCM of 8228 and 8224 is associative

LCM of 8224 and 8228 = LCM of 8228 and 8224

Related Least Common Multiples of 8224

Related Least Common Multiples of 8228

Frequently Asked Questions on LCM of 8224 and 8228

1. What is the LCM of 8224 and 8228?

Answer: LCM of 8224 and 8228 is 16916768.

2. What are the Factors of 8224?

Answer: Factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224. There are 12 integers that are factors of 8224. The greatest factor of 8224 is 8224.

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 8224 and 8228?

Answer:

Least Common Multiple of 8224 and 8228 = 16916768

Step 1: Find the prime factorization of 8224

8224 = 2 x 2 x 2 x 2 x 2 x 257

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 = 16916768 = 2 x 2 x 2 x 2 x 2 x 11 x 11 x 17 x 257

Step 4: Therefore, the least common multiple of 8224 and 8228 is 16916768.