Least Common Multiple of 8228 and 8234

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 8234 the smallest integer that is 33874676 that is divisible by both numbers.

Least Common Multiple (LCM) of 8228 and 8234 is 33874676.

LCM(8228,8234) = 33874676

LCM of 8228 and 8234

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

LCM of:
and

Least Common Multiple of 8228 and 8234

LCM of 8228 and 8234 is 33874676

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8234. First we will calculate the prime factors of 8228 and 8234.

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 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2, 23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8234.

LCM(8228,8234) = 22×112×171×231×1791
LCM(8228,8234) = 33874676

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 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117, 8234

Least Common Multiple of 8228 and 8234 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 8234, than apply into the LCM equation.

GCF(8228,8234) = 2
LCM(8228,8234) = ( 8228 × 8234) / 2
LCM(8228,8234) = 67749352 / 2
LCM(8228,8234) = 33874676

Properties of LCM 8228 and 8234

(i) The LCM of 8234 and 8228 is associative

LCM of 8228 and 8234 = LCM of 8234 and 8228

Related Least Common Multiples of 8228

Related Least Common Multiples of 8234

Frequently Asked Questions on LCM of 8228 and 8234

1. What is the LCM of 8228 and 8234?

Answer: LCM of 8228 and 8234 is 33874676.

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 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

4. How to Find the LCM of 8228 and 8234?

Answer:

Least Common Multiple of 8228 and 8234 = 33874676

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 8234

8234 = 2 x 23 x 179

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

LCM = 33874676 = 2 x 2 x 11 x 11 x 17 x 23 x 179

Step 4: Therefore, the least common multiple of 8228 and 8234 is 33874676.