Least Common Multiple of 8300 and 8303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8300 and 8303 the smallest integer that is 68914900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8300 and 8303 is 68914900.

LCM(8300,8303) = 68914900

LCM of 8300 and 8303

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

LCM of:
and

Least Common Multiple of 8300 and 8303

LCM of 8300 and 8303 is 68914900

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8303. First we will calculate the prime factors of 8300 and 8303.

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

Prime Factorization of 8303


19 8303
19 437
23 23
1

Prime factors of 8303 are 19,23. Prime factorization of 8303 in exponential form is:

8303 = 192×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8303.

LCM(8300,8303) = 22×52×192×231×831
LCM(8300,8303) = 68914900

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

Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1, 19, 23, 361, 437, 8303

Least Common Multiple of 8300 and 8303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8300 and 8303, than apply into the LCM equation.

GCF(8300,8303) = 1
LCM(8300,8303) = ( 8300 × 8303) / 1
LCM(8300,8303) = 68914900 / 1
LCM(8300,8303) = 68914900

Properties of LCM 8300 and 8303

(i) The LCM of 8303 and 8300 is associative

LCM of 8300 and 8303 = LCM of 8303 and 8300

Related Least Common Multiples of 8300

Related Least Common Multiples of 8303

Frequently Asked Questions on LCM of 8300 and 8303

1. What is the LCM of 8300 and 8303?

Answer: LCM of 8300 and 8303 is 68914900.

2. 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.

3. What are the Factors of 8303?

Answer: Factors of 8303 are 1, 19, 23, 361, 437, 8303. There are 6 integers that are factors of 8303. The greatest factor of 8303 is 8303.

4. How to Find the LCM of 8300 and 8303?

Answer:

Least Common Multiple of 8300 and 8303 = 68914900

Step 1: Find the prime factorization of 8300

8300 = 2 x 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 8303

8303 = 19 x 19 x 23

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

LCM = 68914900 = 2 x 2 x 5 x 5 x 19 x 19 x 23 x 83

Step 4: Therefore, the least common multiple of 8300 and 8303 is 68914900.