Least Common Multiple of 8288 and 8293

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 8293 the smallest integer that is 68732384 that is divisible by both numbers.

Least Common Multiple (LCM) of 8288 and 8293 is 68732384.

LCM(8288,8293) = 68732384

LCM of 8288 and 8293

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

LCM of:
and

Least Common Multiple of 8288 and 8293

LCM of 8288 and 8293 is 68732384

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8293. First we will calculate the prime factors of 8288 and 8293.

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 8293


8293 8293
1

Prime factors of 8293 are 8293. Prime factorization of 8293 in exponential form is:

8293 = 82931

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8293.

LCM(8288,8293) = 25×71×371×82931
LCM(8288,8293) = 68732384

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 8293

List of positive integer factors of 8293 that divides 8293 without a remainder.

1, 8293

Least Common Multiple of 8288 and 8293 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 8293, than apply into the LCM equation.

GCF(8288,8293) = 1
LCM(8288,8293) = ( 8288 × 8293) / 1
LCM(8288,8293) = 68732384 / 1
LCM(8288,8293) = 68732384

Properties of LCM 8288 and 8293

(i) The LCM of 8293 and 8288 is associative

LCM of 8288 and 8293 = LCM of 8293 and 8288

Related Least Common Multiples of 8288

Related Least Common Multiples of 8293

Frequently Asked Questions on LCM of 8288 and 8293

1. What is the LCM of 8288 and 8293?

Answer: LCM of 8288 and 8293 is 68732384.

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 8293?

Answer: Factors of 8293 are 1, 8293. There are 2 integers that are factors of 8293. The greatest factor of 8293 is 8293.

4. How to Find the LCM of 8288 and 8293?

Answer:

Least Common Multiple of 8288 and 8293 = 68732384

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 8293

8293 = 8293

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

LCM = 68732384 = 2 x 2 x 2 x 2 x 2 x 7 x 37 x 8293

Step 4: Therefore, the least common multiple of 8288 and 8293 is 68732384.