Least Common Multiple of 12825 and 12830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12825 and 12830 the smallest integer that is 32908950 that is divisible by both numbers.

Least Common Multiple (LCM) of 12825 and 12830 is 32908950.

LCM(12825,12830) = 32908950

LCM of 12825 and 12830

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

LCM of:
and

Least Common Multiple of 12825 and 12830

LCM of 12825 and 12830 is 32908950

Least common multiple can be found by multiplying the highest exponent prime factors of 12825 and 12830. First we will calculate the prime factors of 12825 and 12830.

Prime Factorization of 12825


3 12825
3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 12825 are 3, 5,19. Prime factorization of 12825 in exponential form is:

12825 = 33×52×191

Prime Factorization of 12830


2 12830
5 6415
1283 1283
1

Prime factors of 12830 are 2, 5,1283. Prime factorization of 12830 in exponential form is:

12830 = 21×51×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 12825 and 12830.

LCM(12825,12830) = 21×33×52×191×12831
LCM(12825,12830) = 32908950

Factors of 12825

List of positive integer factors of 12825 that divides 12825 without a remainder.

1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285, 475, 513, 675, 855, 1425, 2565, 4275, 12825

Factors of 12830

List of positive integer factors of 12830 that divides 12830 without a remainder.

1, 2, 5, 10, 1283, 2566, 6415, 12830

Least Common Multiple of 12825 and 12830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12825 and 12830, than apply into the LCM equation.

GCF(12825,12830) = 5
LCM(12825,12830) = ( 12825 × 12830) / 5
LCM(12825,12830) = 164544750 / 5
LCM(12825,12830) = 32908950

Properties of LCM 12825 and 12830

(i) The LCM of 12830 and 12825 is associative

LCM of 12825 and 12830 = LCM of 12830 and 12825

Related Least Common Multiples of 12825

Related Least Common Multiples of 12830

Frequently Asked Questions on LCM of 12825 and 12830

1. What is the LCM of 12825 and 12830?

Answer: LCM of 12825 and 12830 is 32908950.

2. What are the Factors of 12825?

Answer: Factors of 12825 are 1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285, 475, 513, 675, 855, 1425, 2565, 4275, 12825. There are 24 integers that are factors of 12825. The greatest factor of 12825 is 12825.

3. What are the Factors of 12830?

Answer: Factors of 12830 are 1, 2, 5, 10, 1283, 2566, 6415, 12830. There are 8 integers that are factors of 12830. The greatest factor of 12830 is 12830.

4. How to Find the LCM of 12825 and 12830?

Answer:

Least Common Multiple of 12825 and 12830 = 32908950

Step 1: Find the prime factorization of 12825

12825 = 3 x 3 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 12830

12830 = 2 x 5 x 1283

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

LCM = 32908950 = 2 x 3 x 3 x 3 x 5 x 5 x 19 x 1283

Step 4: Therefore, the least common multiple of 12825 and 12830 is 32908950.