Least Common Multiple of 8288 and 8292

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 8292 the smallest integer that is 17181024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8288 and 8292 is 17181024.

LCM(8288,8292) = 17181024

LCM of 8288 and 8292

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

LCM of:
and

Least Common Multiple of 8288 and 8292

LCM of 8288 and 8292 is 17181024

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8292. First we will calculate the prime factors of 8288 and 8292.

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 8292


2 8292
2 4146
3 2073
691 691
1

Prime factors of 8292 are 2, 3,691. Prime factorization of 8292 in exponential form is:

8292 = 22×31×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8292.

LCM(8288,8292) = 25×31×71×371×6911
LCM(8288,8292) = 17181024

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 8292

List of positive integer factors of 8292 that divides 8292 without a remainder.

1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292

Least Common Multiple of 8288 and 8292 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 8292, than apply into the LCM equation.

GCF(8288,8292) = 4
LCM(8288,8292) = ( 8288 × 8292) / 4
LCM(8288,8292) = 68724096 / 4
LCM(8288,8292) = 17181024

Properties of LCM 8288 and 8292

(i) The LCM of 8292 and 8288 is associative

LCM of 8288 and 8292 = LCM of 8292 and 8288

Related Least Common Multiples of 8288

Related Least Common Multiples of 8292

Frequently Asked Questions on LCM of 8288 and 8292

1. What is the LCM of 8288 and 8292?

Answer: LCM of 8288 and 8292 is 17181024.

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 8292?

Answer: Factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292. There are 12 integers that are factors of 8292. The greatest factor of 8292 is 8292.

4. How to Find the LCM of 8288 and 8292?

Answer:

Least Common Multiple of 8288 and 8292 = 17181024

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 8292

8292 = 2 x 2 x 3 x 691

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

LCM = 17181024 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37 x 691

Step 4: Therefore, the least common multiple of 8288 and 8292 is 17181024.