Least Common Multiple of 12820 and 12825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12820 and 12825 the smallest integer that is 32883300 that is divisible by both numbers.

Least Common Multiple (LCM) of 12820 and 12825 is 32883300.

LCM(12820,12825) = 32883300

LCM of 12820 and 12825

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

LCM of:
and

Least Common Multiple of 12820 and 12825

LCM of 12820 and 12825 is 32883300

Least common multiple can be found by multiplying the highest exponent prime factors of 12820 and 12825. First we will calculate the prime factors of 12820 and 12825.

Prime Factorization of 12820


2 12820
2 6410
5 3205
641 641
1

Prime factors of 12820 are 2, 5,641. Prime factorization of 12820 in exponential form is:

12820 = 22×51×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12820 and 12825.

LCM(12820,12825) = 22×33×52×191×6411
LCM(12820,12825) = 32883300

Factors of 12820

List of positive integer factors of 12820 that divides 12820 without a remainder.

1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820

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

Least Common Multiple of 12820 and 12825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12820 and 12825, than apply into the LCM equation.

GCF(12820,12825) = 5
LCM(12820,12825) = ( 12820 × 12825) / 5
LCM(12820,12825) = 164416500 / 5
LCM(12820,12825) = 32883300

Properties of LCM 12820 and 12825

(i) The LCM of 12825 and 12820 is associative

LCM of 12820 and 12825 = LCM of 12825 and 12820

Related Least Common Multiples of 12820

Related Least Common Multiples of 12825

Frequently Asked Questions on LCM of 12820 and 12825

1. What is the LCM of 12820 and 12825?

Answer: LCM of 12820 and 12825 is 32883300.

2. What are the Factors of 12820?

Answer: Factors of 12820 are 1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820. There are 12 integers that are factors of 12820. The greatest factor of 12820 is 12820.

3. 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.

4. How to Find the LCM of 12820 and 12825?

Answer:

Least Common Multiple of 12820 and 12825 = 32883300

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12825

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

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

LCM = 32883300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 x 641

Step 4: Therefore, the least common multiple of 12820 and 12825 is 32883300.