Least Common Multiple of 825 and 829

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 829 the smallest integer that is 683925 that is divisible by both numbers.

Least Common Multiple (LCM) of 825 and 829 is 683925.

LCM(825,829) = 683925

LCM of 825 and 829

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

LCM of:
and

Least Common Multiple of 825 and 829

LCM of 825 and 829 is 683925

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 829. First we will calculate the prime factors of 825 and 829.

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 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 829.

LCM(825,829) = 31×52×111×8291
LCM(825,829) = 683925

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 829

List of positive integer factors of 829 that divides 829 without a remainder.

1, 829

Least Common Multiple of 825 and 829 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 829, than apply into the LCM equation.

GCF(825,829) = 1
LCM(825,829) = ( 825 × 829) / 1
LCM(825,829) = 683925 / 1
LCM(825,829) = 683925

Properties of LCM 825 and 829

(i) The LCM of 829 and 825 is associative

LCM of 825 and 829 = LCM of 829 and 825

Related Least Common Multiples of 825

Related Least Common Multiples of 829

Frequently Asked Questions on LCM of 825 and 829

1. What is the LCM of 825 and 829?

Answer: LCM of 825 and 829 is 683925.

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 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

4. How to Find the LCM of 825 and 829?

Answer:

Least Common Multiple of 825 and 829 = 683925

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 829

829 = 829

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

LCM = 683925 = 3 x 5 x 5 x 11 x 829

Step 4: Therefore, the least common multiple of 825 and 829 is 683925.