Least Common Multiple of 13300 and 13303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13300 and 13303 the smallest integer that is 176929900 that is divisible by both numbers.

Least Common Multiple (LCM) of 13300 and 13303 is 176929900.

LCM(13300,13303) = 176929900

LCM of 13300 and 13303

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

LCM of:
and

Least Common Multiple of 13300 and 13303

LCM of 13300 and 13303 is 176929900

Least common multiple can be found by multiplying the highest exponent prime factors of 13300 and 13303. First we will calculate the prime factors of 13300 and 13303.

Prime Factorization of 13300


2 13300
2 6650
5 3325
5 665
7 133
19 19
1

Prime factors of 13300 are 2, 5, 7,19. Prime factorization of 13300 in exponential form is:

13300 = 22×52×71×191

Prime Factorization of 13303


53 13303
251 251
1

Prime factors of 13303 are 53,251. Prime factorization of 13303 in exponential form is:

13303 = 531×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 13300 and 13303.

LCM(13300,13303) = 22×52×71×191×531×2511
LCM(13300,13303) = 176929900

Factors of 13300

List of positive integer factors of 13300 that divides 13300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 50, 70, 76, 95, 100, 133, 140, 175, 190, 266, 350, 380, 475, 532, 665, 700, 950, 1330, 1900, 2660, 3325, 6650, 13300

Factors of 13303

List of positive integer factors of 13303 that divides 13303 without a remainder.

1, 53, 251, 13303

Least Common Multiple of 13300 and 13303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13300 and 13303, than apply into the LCM equation.

GCF(13300,13303) = 1
LCM(13300,13303) = ( 13300 × 13303) / 1
LCM(13300,13303) = 176929900 / 1
LCM(13300,13303) = 176929900

Properties of LCM 13300 and 13303

(i) The LCM of 13303 and 13300 is associative

LCM of 13300 and 13303 = LCM of 13303 and 13300

Related Least Common Multiples of 13300

Related Least Common Multiples of 13303

Frequently Asked Questions on LCM of 13300 and 13303

1. What is the LCM of 13300 and 13303?

Answer: LCM of 13300 and 13303 is 176929900.

2. What are the Factors of 13300?

Answer: Factors of 13300 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 50, 70, 76, 95, 100, 133, 140, 175, 190, 266, 350, 380, 475, 532, 665, 700, 950, 1330, 1900, 2660, 3325, 6650, 13300. There are 36 integers that are factors of 13300. The greatest factor of 13300 is 13300.

3. What are the Factors of 13303?

Answer: Factors of 13303 are 1, 53, 251, 13303. There are 4 integers that are factors of 13303. The greatest factor of 13303 is 13303.

4. How to Find the LCM of 13300 and 13303?

Answer:

Least Common Multiple of 13300 and 13303 = 176929900

Step 1: Find the prime factorization of 13300

13300 = 2 x 2 x 5 x 5 x 7 x 19

Step 2: Find the prime factorization of 13303

13303 = 53 x 251

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

LCM = 176929900 = 2 x 2 x 5 x 5 x 7 x 19 x 53 x 251

Step 4: Therefore, the least common multiple of 13300 and 13303 is 176929900.