Least Common Multiple of 8281 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 8281 and 8288 the smallest integer that is 9804704 that is divisible by both numbers.

Least Common Multiple (LCM) of 8281 and 8288 is 9804704.

LCM(8281,8288) = 9804704

LCM of 8281 and 8288

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

LCM of:
and

Least Common Multiple of 8281 and 8288

LCM of 8281 and 8288 is 9804704

Least common multiple can be found by multiplying the highest exponent prime factors of 8281 and 8288. First we will calculate the prime factors of 8281 and 8288.

Prime Factorization of 8281


7 8281
7 1183
13 169
13 13
1

Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:

8281 = 72×132

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 8281 and 8288.

LCM(8281,8288) = 25×72×132×371
LCM(8281,8288) = 9804704

Factors of 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1, 7, 13, 49, 91, 169, 637, 1183, 8281

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 8281 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 8281 and 8288, than apply into the LCM equation.

GCF(8281,8288) = 7
LCM(8281,8288) = ( 8281 × 8288) / 7
LCM(8281,8288) = 68632928 / 7
LCM(8281,8288) = 9804704

Properties of LCM 8281 and 8288

(i) The LCM of 8288 and 8281 is associative

LCM of 8281 and 8288 = LCM of 8288 and 8281

Related Least Common Multiples of 8281

Related Least Common Multiples of 8288

Frequently Asked Questions on LCM of 8281 and 8288

1. What is the LCM of 8281 and 8288?

Answer: LCM of 8281 and 8288 is 9804704.

2. What are the Factors of 8281?

Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.

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 8281 and 8288?

Answer:

Least Common Multiple of 8281 and 8288 = 9804704

Step 1: Find the prime factorization of 8281

8281 = 7 x 7 x 13 x 13

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 = 9804704 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 8281 and 8288 is 9804704.