Least Common Multiple of 12825 and 12832

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 12832 the smallest integer that is 164570400 that is divisible by both numbers.

Least Common Multiple (LCM) of 12825 and 12832 is 164570400.

LCM(12825,12832) = 164570400

LCM of 12825 and 12832

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

LCM of:
and

Least Common Multiple of 12825 and 12832

LCM of 12825 and 12832 is 164570400

Least common multiple can be found by multiplying the highest exponent prime factors of 12825 and 12832. First we will calculate the prime factors of 12825 and 12832.

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 12832


2 12832
2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 12832 are 2,401. Prime factorization of 12832 in exponential form is:

12832 = 25×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 12825 and 12832.

LCM(12825,12832) = 25×33×52×191×4011
LCM(12825,12832) = 164570400

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 12832

List of positive integer factors of 12832 that divides 12832 without a remainder.

1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416, 12832

Least Common Multiple of 12825 and 12832 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 12832, than apply into the LCM equation.

GCF(12825,12832) = 1
LCM(12825,12832) = ( 12825 × 12832) / 1
LCM(12825,12832) = 164570400 / 1
LCM(12825,12832) = 164570400

Properties of LCM 12825 and 12832

(i) The LCM of 12832 and 12825 is associative

LCM of 12825 and 12832 = LCM of 12832 and 12825

Related Least Common Multiples of 12825

Related Least Common Multiples of 12832

Frequently Asked Questions on LCM of 12825 and 12832

1. What is the LCM of 12825 and 12832?

Answer: LCM of 12825 and 12832 is 164570400.

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 12832?

Answer: Factors of 12832 are 1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416, 12832. There are 12 integers that are factors of 12832. The greatest factor of 12832 is 12832.

4. How to Find the LCM of 12825 and 12832?

Answer:

Least Common Multiple of 12825 and 12832 = 164570400

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 12832

12832 = 2 x 2 x 2 x 2 x 2 x 401

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

LCM = 164570400 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 x 401

Step 4: Therefore, the least common multiple of 12825 and 12832 is 164570400.