Least Common Multiple of 8228 and 8233

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 8233 the smallest integer that is 67741124 that is divisible by both numbers.

Least Common Multiple (LCM) of 8228 and 8233 is 67741124.

LCM(8228,8233) = 67741124

LCM of 8228 and 8233

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

LCM of:
and

Least Common Multiple of 8228 and 8233

LCM of 8228 and 8233 is 67741124

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8233. First we will calculate the prime factors of 8228 and 8233.

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 8233


8233 8233
1

Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:

8233 = 82331

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8233.

LCM(8228,8233) = 22×112×171×82331
LCM(8228,8233) = 67741124

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 8233

List of positive integer factors of 8233 that divides 8233 without a remainder.

1, 8233

Least Common Multiple of 8228 and 8233 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 8233, than apply into the LCM equation.

GCF(8228,8233) = 1
LCM(8228,8233) = ( 8228 × 8233) / 1
LCM(8228,8233) = 67741124 / 1
LCM(8228,8233) = 67741124

Properties of LCM 8228 and 8233

(i) The LCM of 8233 and 8228 is associative

LCM of 8228 and 8233 = LCM of 8233 and 8228

Related Least Common Multiples of 8228

Related Least Common Multiples of 8233

Frequently Asked Questions on LCM of 8228 and 8233

1. What is the LCM of 8228 and 8233?

Answer: LCM of 8228 and 8233 is 67741124.

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 8233?

Answer: Factors of 8233 are 1, 8233. There are 2 integers that are factors of 8233. The greatest factor of 8233 is 8233.

4. How to Find the LCM of 8228 and 8233?

Answer:

Least Common Multiple of 8228 and 8233 = 67741124

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 8233

8233 = 8233

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

LCM = 67741124 = 2 x 2 x 11 x 11 x 17 x 8233

Step 4: Therefore, the least common multiple of 8228 and 8233 is 67741124.