Least Common Multiple of 8228 and 8235

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 8235 the smallest integer that is 67757580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8228 and 8235 is 67757580.

LCM(8228,8235) = 67757580

LCM of 8228 and 8235

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

LCM of:
and

Least Common Multiple of 8228 and 8235

LCM of 8228 and 8235 is 67757580

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8235. First we will calculate the prime factors of 8228 and 8235.

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 8235


3 8235
3 2745
3 915
5 305
61 61
1

Prime factors of 8235 are 3, 5,61. Prime factorization of 8235 in exponential form is:

8235 = 33×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8235.

LCM(8228,8235) = 22×33×51×112×171×611
LCM(8228,8235) = 67757580

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 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235

Least Common Multiple of 8228 and 8235 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 8235, than apply into the LCM equation.

GCF(8228,8235) = 1
LCM(8228,8235) = ( 8228 × 8235) / 1
LCM(8228,8235) = 67757580 / 1
LCM(8228,8235) = 67757580

Properties of LCM 8228 and 8235

(i) The LCM of 8235 and 8228 is associative

LCM of 8228 and 8235 = LCM of 8235 and 8228

Related Least Common Multiples of 8228

Related Least Common Multiples of 8235

Frequently Asked Questions on LCM of 8228 and 8235

1. What is the LCM of 8228 and 8235?

Answer: LCM of 8228 and 8235 is 67757580.

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 8235?

Answer: Factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235. There are 16 integers that are factors of 8235. The greatest factor of 8235 is 8235.

4. How to Find the LCM of 8228 and 8235?

Answer:

Least Common Multiple of 8228 and 8235 = 67757580

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 8235

8235 = 3 x 3 x 3 x 5 x 61

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

LCM = 67757580 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 11 x 17 x 61

Step 4: Therefore, the least common multiple of 8228 and 8235 is 67757580.