Least Common Multiple of 13300 and 13302

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 13302 the smallest integer that is 88458300 that is divisible by both numbers.

Least Common Multiple (LCM) of 13300 and 13302 is 88458300.

LCM(13300,13302) = 88458300

LCM of 13300 and 13302

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

LCM of:
and

Least Common Multiple of 13300 and 13302

LCM of 13300 and 13302 is 88458300

Least common multiple can be found by multiplying the highest exponent prime factors of 13300 and 13302. First we will calculate the prime factors of 13300 and 13302.

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 13302


2 13302
3 6651
3 2217
739 739
1

Prime factors of 13302 are 2, 3,739. Prime factorization of 13302 in exponential form is:

13302 = 21×32×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 13300 and 13302.

LCM(13300,13302) = 22×32×52×71×191×7391
LCM(13300,13302) = 88458300

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 13302

List of positive integer factors of 13302 that divides 13302 without a remainder.

1, 2, 3, 6, 9, 18, 739, 1478, 2217, 4434, 6651, 13302

Least Common Multiple of 13300 and 13302 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 13302, than apply into the LCM equation.

GCF(13300,13302) = 2
LCM(13300,13302) = ( 13300 × 13302) / 2
LCM(13300,13302) = 176916600 / 2
LCM(13300,13302) = 88458300

Properties of LCM 13300 and 13302

(i) The LCM of 13302 and 13300 is associative

LCM of 13300 and 13302 = LCM of 13302 and 13300

Related Least Common Multiples of 13300

Related Least Common Multiples of 13302

Frequently Asked Questions on LCM of 13300 and 13302

1. What is the LCM of 13300 and 13302?

Answer: LCM of 13300 and 13302 is 88458300.

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 13302?

Answer: Factors of 13302 are 1, 2, 3, 6, 9, 18, 739, 1478, 2217, 4434, 6651, 13302. There are 12 integers that are factors of 13302. The greatest factor of 13302 is 13302.

4. How to Find the LCM of 13300 and 13302?

Answer:

Least Common Multiple of 13300 and 13302 = 88458300

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 13302

13302 = 2 x 3 x 3 x 739

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

LCM = 88458300 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 19 x 739

Step 4: Therefore, the least common multiple of 13300 and 13302 is 88458300.