Least Common Multiple of 8228 and 8236

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 8236 the smallest integer that is 16941452 that is divisible by both numbers.

Least Common Multiple (LCM) of 8228 and 8236 is 16941452.

LCM(8228,8236) = 16941452

LCM of 8228 and 8236

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

LCM of:
and

Least Common Multiple of 8228 and 8236

LCM of 8228 and 8236 is 16941452

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8236. First we will calculate the prime factors of 8228 and 8236.

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 8236


2 8236
2 4118
29 2059
71 71
1

Prime factors of 8236 are 2, 29,71. Prime factorization of 8236 in exponential form is:

8236 = 22×291×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8236.

LCM(8228,8236) = 22×112×171×291×711
LCM(8228,8236) = 16941452

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 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236

Least Common Multiple of 8228 and 8236 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 8236, than apply into the LCM equation.

GCF(8228,8236) = 4
LCM(8228,8236) = ( 8228 × 8236) / 4
LCM(8228,8236) = 67765808 / 4
LCM(8228,8236) = 16941452

Properties of LCM 8228 and 8236

(i) The LCM of 8236 and 8228 is associative

LCM of 8228 and 8236 = LCM of 8236 and 8228

Related Least Common Multiples of 8228

Related Least Common Multiples of 8236

Frequently Asked Questions on LCM of 8228 and 8236

1. What is the LCM of 8228 and 8236?

Answer: LCM of 8228 and 8236 is 16941452.

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 8236?

Answer: Factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236. There are 12 integers that are factors of 8236. The greatest factor of 8236 is 8236.

4. How to Find the LCM of 8228 and 8236?

Answer:

Least Common Multiple of 8228 and 8236 = 16941452

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 8236

8236 = 2 x 2 x 29 x 71

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

LCM = 16941452 = 2 x 2 x 11 x 11 x 17 x 29 x 71

Step 4: Therefore, the least common multiple of 8228 and 8236 is 16941452.