Least Common Multiple of 8297 and 8300

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 8300 the smallest integer that is 68865100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8297 and 8300 is 68865100.

LCM(8297,8300) = 68865100

LCM of 8297 and 8300

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

LCM of:
and

Least Common Multiple of 8297 and 8300

LCM of 8297 and 8300 is 68865100

Least common multiple can be found by multiplying the highest exponent prime factors of 8297 and 8300. First we will calculate the prime factors of 8297 and 8300.

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 8300


2 8300
2 4150
5 2075
5 415
83 83
1

Prime factors of 8300 are 2, 5,83. Prime factorization of 8300 in exponential form is:

8300 = 22×52×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8297 and 8300.

LCM(8297,8300) = 22×52×831×82971
LCM(8297,8300) = 68865100

Factors of 8297

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

1, 8297

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300

Least Common Multiple of 8297 and 8300 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 8300, than apply into the LCM equation.

GCF(8297,8300) = 1
LCM(8297,8300) = ( 8297 × 8300) / 1
LCM(8297,8300) = 68865100 / 1
LCM(8297,8300) = 68865100

Properties of LCM 8297 and 8300

(i) The LCM of 8300 and 8297 is associative

LCM of 8297 and 8300 = LCM of 8300 and 8297

Related Least Common Multiples of 8297

Related Least Common Multiples of 8300

Frequently Asked Questions on LCM of 8297 and 8300

1. What is the LCM of 8297 and 8300?

Answer: LCM of 8297 and 8300 is 68865100.

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 8300?

Answer: Factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300. There are 18 integers that are factors of 8300. The greatest factor of 8300 is 8300.

4. How to Find the LCM of 8297 and 8300?

Answer:

Least Common Multiple of 8297 and 8300 = 68865100

Step 1: Find the prime factorization of 8297

8297 = 8297

Step 2: Find the prime factorization of 8300

8300 = 2 x 2 x 5 x 5 x 83

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

LCM = 68865100 = 2 x 2 x 5 x 5 x 83 x 8297

Step 4: Therefore, the least common multiple of 8297 and 8300 is 68865100.