Least Common Multiple of 8288 and 8294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8288 and 8294 the smallest integer that is 34370336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8288 and 8294 is 34370336.

LCM(8288,8294) = 34370336

LCM of 8288 and 8294

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

LCM of:
and

Least Common Multiple of 8288 and 8294

LCM of 8288 and 8294 is 34370336

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8294. First we will calculate the prime factors of 8288 and 8294.

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

Prime Factorization of 8294


2 8294
11 4147
13 377
29 29
1

Prime factors of 8294 are 2, 11, 13,29. Prime factorization of 8294 in exponential form is:

8294 = 21×111×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8294.

LCM(8288,8294) = 25×71×111×131×291×371
LCM(8288,8294) = 34370336

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

Factors of 8294

List of positive integer factors of 8294 that divides 8294 without a remainder.

1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294

Least Common Multiple of 8288 and 8294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8288 and 8294, than apply into the LCM equation.

GCF(8288,8294) = 2
LCM(8288,8294) = ( 8288 × 8294) / 2
LCM(8288,8294) = 68740672 / 2
LCM(8288,8294) = 34370336

Properties of LCM 8288 and 8294

(i) The LCM of 8294 and 8288 is associative

LCM of 8288 and 8294 = LCM of 8294 and 8288

Related Least Common Multiples of 8288

Related Least Common Multiples of 8294

Frequently Asked Questions on LCM of 8288 and 8294

1. What is the LCM of 8288 and 8294?

Answer: LCM of 8288 and 8294 is 34370336.

2. 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.

3. What are the Factors of 8294?

Answer: Factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294. There are 16 integers that are factors of 8294. The greatest factor of 8294 is 8294.

4. How to Find the LCM of 8288 and 8294?

Answer:

Least Common Multiple of 8288 and 8294 = 34370336

Step 1: Find the prime factorization of 8288

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

Step 2: Find the prime factorization of 8294

8294 = 2 x 11 x 13 x 29

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

LCM = 34370336 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 13 x 29 x 37

Step 4: Therefore, the least common multiple of 8288 and 8294 is 34370336.