Least Common Multiple of 8296 and 8302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8296 and 8302 the smallest integer that is 34436696 that is divisible by both numbers.

Least Common Multiple (LCM) of 8296 and 8302 is 34436696.

LCM(8296,8302) = 34436696

LCM of 8296 and 8302

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

LCM of:
and

Least Common Multiple of 8296 and 8302

LCM of 8296 and 8302 is 34436696

Least common multiple can be found by multiplying the highest exponent prime factors of 8296 and 8302. First we will calculate the prime factors of 8296 and 8302.

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

Prime Factorization of 8302


2 8302
7 4151
593 593
1

Prime factors of 8302 are 2, 7,593. Prime factorization of 8302 in exponential form is:

8302 = 21×71×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 8296 and 8302.

LCM(8296,8302) = 23×71×171×611×5931
LCM(8296,8302) = 34436696

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

Factors of 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1, 2, 7, 14, 593, 1186, 4151, 8302

Least Common Multiple of 8296 and 8302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8296 and 8302, than apply into the LCM equation.

GCF(8296,8302) = 2
LCM(8296,8302) = ( 8296 × 8302) / 2
LCM(8296,8302) = 68873392 / 2
LCM(8296,8302) = 34436696

Properties of LCM 8296 and 8302

(i) The LCM of 8302 and 8296 is associative

LCM of 8296 and 8302 = LCM of 8302 and 8296

Related Least Common Multiples of 8296

Related Least Common Multiples of 8302

Frequently Asked Questions on LCM of 8296 and 8302

1. What is the LCM of 8296 and 8302?

Answer: LCM of 8296 and 8302 is 34436696.

2. 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.

3. What are the Factors of 8302?

Answer: Factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302. There are 8 integers that are factors of 8302. The greatest factor of 8302 is 8302.

4. How to Find the LCM of 8296 and 8302?

Answer:

Least Common Multiple of 8296 and 8302 = 34436696

Step 1: Find the prime factorization of 8296

8296 = 2 x 2 x 2 x 17 x 61

Step 2: Find the prime factorization of 8302

8302 = 2 x 7 x 593

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

LCM = 34436696 = 2 x 2 x 2 x 7 x 17 x 61 x 593

Step 4: Therefore, the least common multiple of 8296 and 8302 is 34436696.