Least Common Multiple of 8222 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 8222 and 8228 the smallest integer that is 33825308 that is divisible by both numbers.

Least Common Multiple (LCM) of 8222 and 8228 is 33825308.

LCM(8222,8228) = 33825308

LCM of 8222 and 8228

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

LCM of:
and

Least Common Multiple of 8222 and 8228

LCM of 8222 and 8228 is 33825308

Least common multiple can be found by multiplying the highest exponent prime factors of 8222 and 8228. First we will calculate the prime factors of 8222 and 8228.

Prime Factorization of 8222


2 8222
4111 4111
1

Prime factors of 8222 are 2,4111. Prime factorization of 8222 in exponential form is:

8222 = 21×41111

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 8222 and 8228.

LCM(8222,8228) = 22×112×171×41111
LCM(8222,8228) = 33825308

Factors of 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1, 2, 4111, 8222

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 8222 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 8222 and 8228, than apply into the LCM equation.

GCF(8222,8228) = 2
LCM(8222,8228) = ( 8222 × 8228) / 2
LCM(8222,8228) = 67650616 / 2
LCM(8222,8228) = 33825308

Properties of LCM 8222 and 8228

(i) The LCM of 8228 and 8222 is associative

LCM of 8222 and 8228 = LCM of 8228 and 8222

Related Least Common Multiples of 8222

Related Least Common Multiples of 8228

Frequently Asked Questions on LCM of 8222 and 8228

1. What is the LCM of 8222 and 8228?

Answer: LCM of 8222 and 8228 is 33825308.

2. What are the Factors of 8222?

Answer: Factors of 8222 are 1, 2, 4111, 8222. There are 4 integers that are factors of 8222. The greatest factor of 8222 is 8222.

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 8222 and 8228?

Answer:

Least Common Multiple of 8222 and 8228 = 33825308

Step 1: Find the prime factorization of 8222

8222 = 2 x 4111

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 = 33825308 = 2 x 2 x 11 x 11 x 17 x 4111

Step 4: Therefore, the least common multiple of 8222 and 8228 is 33825308.