Least Common Multiple of 8296 and 8301

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 8301 the smallest integer that is 68865096 that is divisible by both numbers.

Least Common Multiple (LCM) of 8296 and 8301 is 68865096.

LCM(8296,8301) = 68865096

LCM of 8296 and 8301

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

LCM of:
and

Least Common Multiple of 8296 and 8301

LCM of 8296 and 8301 is 68865096

Least common multiple can be found by multiplying the highest exponent prime factors of 8296 and 8301. First we will calculate the prime factors of 8296 and 8301.

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 8301


3 8301
2767 2767
1

Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:

8301 = 31×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 8296 and 8301.

LCM(8296,8301) = 23×31×171×611×27671
LCM(8296,8301) = 68865096

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 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1, 3, 2767, 8301

Least Common Multiple of 8296 and 8301 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 8301, than apply into the LCM equation.

GCF(8296,8301) = 1
LCM(8296,8301) = ( 8296 × 8301) / 1
LCM(8296,8301) = 68865096 / 1
LCM(8296,8301) = 68865096

Properties of LCM 8296 and 8301

(i) The LCM of 8301 and 8296 is associative

LCM of 8296 and 8301 = LCM of 8301 and 8296

Related Least Common Multiples of 8296

Related Least Common Multiples of 8301

Frequently Asked Questions on LCM of 8296 and 8301

1. What is the LCM of 8296 and 8301?

Answer: LCM of 8296 and 8301 is 68865096.

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 8301?

Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.

4. How to Find the LCM of 8296 and 8301?

Answer:

Least Common Multiple of 8296 and 8301 = 68865096

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 8301

8301 = 3 x 2767

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

LCM = 68865096 = 2 x 2 x 2 x 3 x 17 x 61 x 2767

Step 4: Therefore, the least common multiple of 8296 and 8301 is 68865096.