Least Common Multiple of 825 and 832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 825 and 832 the smallest integer that is 686400 that is divisible by both numbers.

Least Common Multiple (LCM) of 825 and 832 is 686400.

LCM(825,832) = 686400

LCM of 825 and 832

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

LCM of:
and

Least Common Multiple of 825 and 832

LCM of 825 and 832 is 686400

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 832. First we will calculate the prime factors of 825 and 832.

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3, 5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Prime Factorization of 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 832.

LCM(825,832) = 26×31×52×111×131
LCM(825,832) = 686400

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Least Common Multiple of 825 and 832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 825 and 832, than apply into the LCM equation.

GCF(825,832) = 1
LCM(825,832) = ( 825 × 832) / 1
LCM(825,832) = 686400 / 1
LCM(825,832) = 686400

Properties of LCM 825 and 832

(i) The LCM of 832 and 825 is associative

LCM of 825 and 832 = LCM of 832 and 825

Related Least Common Multiples of 825

Related Least Common Multiples of 832

Frequently Asked Questions on LCM of 825 and 832

1. What is the LCM of 825 and 832?

Answer: LCM of 825 and 832 is 686400.

2. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

3. What are the Factors of 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

4. How to Find the LCM of 825 and 832?

Answer:

Least Common Multiple of 825 and 832 = 686400

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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

LCM = 686400 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 825 and 832 is 686400.