Least Common Multiple of 8291 and 8296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8291 and 8296 the smallest integer that is 68782136 that is divisible by both numbers.

Least Common Multiple (LCM) of 8291 and 8296 is 68782136.

LCM(8291,8296) = 68782136

LCM of 8291 and 8296

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

LCM of:
and

Least Common Multiple of 8291 and 8296

LCM of 8291 and 8296 is 68782136

Least common multiple can be found by multiplying the highest exponent prime factors of 8291 and 8296. First we will calculate the prime factors of 8291 and 8296.

Prime Factorization of 8291


8291 8291
1

Prime factors of 8291 are 8291. Prime factorization of 8291 in exponential form is:

8291 = 82911

Prime Factorization of 8296


2 8296
2 4148
2 2074
17 1037
61 61
1

Prime factors of 8296 are 2, 17,61. Prime factorization of 8296 in exponential form is:

8296 = 23×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8291 and 8296.

LCM(8291,8296) = 23×171×611×82911
LCM(8291,8296) = 68782136

Factors of 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1, 8291

Factors of 8296

List of positive integer factors of 8296 that divides 8296 without a remainder.

1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296

Least Common Multiple of 8291 and 8296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8291 and 8296, than apply into the LCM equation.

GCF(8291,8296) = 1
LCM(8291,8296) = ( 8291 × 8296) / 1
LCM(8291,8296) = 68782136 / 1
LCM(8291,8296) = 68782136

Properties of LCM 8291 and 8296

(i) The LCM of 8296 and 8291 is associative

LCM of 8291 and 8296 = LCM of 8296 and 8291

Related Least Common Multiples of 8291

Related Least Common Multiples of 8296

Frequently Asked Questions on LCM of 8291 and 8296

1. What is the LCM of 8291 and 8296?

Answer: LCM of 8291 and 8296 is 68782136.

2. What are the Factors of 8291?

Answer: Factors of 8291 are 1, 8291. There are 2 integers that are factors of 8291. The greatest factor of 8291 is 8291.

3. What are the Factors of 8296?

Answer: Factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296. There are 16 integers that are factors of 8296. The greatest factor of 8296 is 8296.

4. How to Find the LCM of 8291 and 8296?

Answer:

Least Common Multiple of 8291 and 8296 = 68782136

Step 1: Find the prime factorization of 8291

8291 = 8291

Step 2: Find the prime factorization of 8296

8296 = 2 x 2 x 2 x 17 x 61

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

LCM = 68782136 = 2 x 2 x 2 x 17 x 61 x 8291

Step 4: Therefore, the least common multiple of 8291 and 8296 is 68782136.