Least Common Multiple of 8297 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 8297 and 8301 the smallest integer that is 68873397 that is divisible by both numbers.

Least Common Multiple (LCM) of 8297 and 8301 is 68873397.

LCM(8297,8301) = 68873397

LCM of 8297 and 8301

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

LCM of:
and

Least Common Multiple of 8297 and 8301

LCM of 8297 and 8301 is 68873397

Least common multiple can be found by multiplying the highest exponent prime factors of 8297 and 8301. First we will calculate the prime factors of 8297 and 8301.

Prime Factorization of 8297


8297 8297
1

Prime factors of 8297 are 8297. Prime factorization of 8297 in exponential form is:

8297 = 82971

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 8297 and 8301.

LCM(8297,8301) = 31×27671×82971
LCM(8297,8301) = 68873397

Factors of 8297

List of positive integer factors of 8297 that divides 8297 without a remainder.

1, 8297

Factors of 8301

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

1, 3, 2767, 8301

Least Common Multiple of 8297 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 8297 and 8301, than apply into the LCM equation.

GCF(8297,8301) = 1
LCM(8297,8301) = ( 8297 × 8301) / 1
LCM(8297,8301) = 68873397 / 1
LCM(8297,8301) = 68873397

Properties of LCM 8297 and 8301

(i) The LCM of 8301 and 8297 is associative

LCM of 8297 and 8301 = LCM of 8301 and 8297

Related Least Common Multiples of 8297

Related Least Common Multiples of 8301

Frequently Asked Questions on LCM of 8297 and 8301

1. What is the LCM of 8297 and 8301?

Answer: LCM of 8297 and 8301 is 68873397.

2. What are the Factors of 8297?

Answer: Factors of 8297 are 1, 8297. There are 2 integers that are factors of 8297. The greatest factor of 8297 is 8297.

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 8297 and 8301?

Answer:

Least Common Multiple of 8297 and 8301 = 68873397

Step 1: Find the prime factorization of 8297

8297 = 8297

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 = 68873397 = 3 x 2767 x 8297

Step 4: Therefore, the least common multiple of 8297 and 8301 is 68873397.