Least Common Multiple of 823 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 823 and 831 the smallest integer that is 683913 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 831 is 683913.

LCM(823,831) = 683913

LCM of 823 and 831

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

LCM of:
and

Least Common Multiple of 823 and 831

LCM of 823 and 831 is 683913

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 831. First we will calculate the prime factors of 823 and 831.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

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 823 and 831.

LCM(823,831) = 31×2771×8231
LCM(823,831) = 683913

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

Factors of 831

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

1, 3, 277, 831

Least Common Multiple of 823 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 823 and 831, than apply into the LCM equation.

GCF(823,831) = 1
LCM(823,831) = ( 823 × 831) / 1
LCM(823,831) = 683913 / 1
LCM(823,831) = 683913

Properties of LCM 823 and 831

(i) The LCM of 831 and 823 is associative

LCM of 823 and 831 = LCM of 831 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 831

Frequently Asked Questions on LCM of 823 and 831

1. What is the LCM of 823 and 831?

Answer: LCM of 823 and 831 is 683913.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

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 823 and 831?

Answer:

Least Common Multiple of 823 and 831 = 683913

Step 1: Find the prime factorization of 823

823 = 823

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 = 683913 = 3 x 277 x 823

Step 4: Therefore, the least common multiple of 823 and 831 is 683913.