Least Common Multiple of 8284 and 8288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8284 and 8288 the smallest integer that is 17164448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8284 and 8288 is 17164448.

LCM(8284,8288) = 17164448

LCM of 8284 and 8288

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

LCM of:
and

Least Common Multiple of 8284 and 8288

LCM of 8284 and 8288 is 17164448

Least common multiple can be found by multiplying the highest exponent prime factors of 8284 and 8288. First we will calculate the prime factors of 8284 and 8288.

Prime Factorization of 8284


2 8284
2 4142
19 2071
109 109
1

Prime factors of 8284 are 2, 19,109. Prime factorization of 8284 in exponential form is:

8284 = 22×191×1091

Prime Factorization of 8288


2 8288
2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 8288 are 2, 7,37. Prime factorization of 8288 in exponential form is:

8288 = 25×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8284 and 8288.

LCM(8284,8288) = 25×71×191×371×1091
LCM(8284,8288) = 17164448

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288

Least Common Multiple of 8284 and 8288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8284 and 8288, than apply into the LCM equation.

GCF(8284,8288) = 4
LCM(8284,8288) = ( 8284 × 8288) / 4
LCM(8284,8288) = 68657792 / 4
LCM(8284,8288) = 17164448

Properties of LCM 8284 and 8288

(i) The LCM of 8288 and 8284 is associative

LCM of 8284 and 8288 = LCM of 8288 and 8284

Related Least Common Multiples of 8284

Related Least Common Multiples of 8288

Frequently Asked Questions on LCM of 8284 and 8288

1. What is the LCM of 8284 and 8288?

Answer: LCM of 8284 and 8288 is 17164448.

2. What are the Factors of 8284?

Answer: Factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284. There are 12 integers that are factors of 8284. The greatest factor of 8284 is 8284.

3. What are the Factors of 8288?

Answer: Factors of 8288 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288. There are 24 integers that are factors of 8288. The greatest factor of 8288 is 8288.

4. How to Find the LCM of 8284 and 8288?

Answer:

Least Common Multiple of 8284 and 8288 = 17164448

Step 1: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

Step 2: Find the prime factorization of 8288

8288 = 2 x 2 x 2 x 2 x 2 x 7 x 37

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

LCM = 17164448 = 2 x 2 x 2 x 2 x 2 x 7 x 19 x 37 x 109

Step 4: Therefore, the least common multiple of 8284 and 8288 is 17164448.