Least Common Multiple of 825 and 831

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 831 the smallest integer that is 228525 that is divisible by both numbers.

Least Common Multiple (LCM) of 825 and 831 is 228525.

LCM(825,831) = 228525

LCM of 825 and 831

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

LCM of:
and

Least Common Multiple of 825 and 831

LCM of 825 and 831 is 228525

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 831. First we will calculate the prime factors of 825 and 831.

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 831


3 831
277 277
1

Prime factors of 831 are 3,277. Prime factorization of 831 in exponential form is:

831 = 31×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 831.

LCM(825,831) = 31×52×111×2771
LCM(825,831) = 228525

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 831

List of positive integer factors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Least Common Multiple of 825 and 831 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 831, than apply into the LCM equation.

GCF(825,831) = 3
LCM(825,831) = ( 825 × 831) / 3
LCM(825,831) = 685575 / 3
LCM(825,831) = 228525

Properties of LCM 825 and 831

(i) The LCM of 831 and 825 is associative

LCM of 825 and 831 = LCM of 831 and 825

Related Least Common Multiples of 825

Related Least Common Multiples of 831

Frequently Asked Questions on LCM of 825 and 831

1. What is the LCM of 825 and 831?

Answer: LCM of 825 and 831 is 228525.

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 831?

Answer: Factors of 831 are 1, 3, 277, 831. There are 4 integers that are factors of 831. The greatest factor of 831 is 831.

4. How to Find the LCM of 825 and 831?

Answer:

Least Common Multiple of 825 and 831 = 228525

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 831

831 = 3 x 277

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

LCM = 228525 = 3 x 5 x 5 x 11 x 277

Step 4: Therefore, the least common multiple of 825 and 831 is 228525.