Least Common Multiple of 831 and 836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 831 and 836 the smallest integer that is 694716 that is divisible by both numbers.

Least Common Multiple (LCM) of 831 and 836 is 694716.

LCM(831,836) = 694716

LCM of 831 and 836

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

LCM of:
and

Least Common Multiple of 831 and 836

LCM of 831 and 836 is 694716

Least common multiple can be found by multiplying the highest exponent prime factors of 831 and 836. First we will calculate the prime factors of 831 and 836.

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

Prime Factorization of 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2, 11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 831 and 836.

LCM(831,836) = 22×31×111×191×2771
LCM(831,836) = 694716

Factors of 831

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

1, 3, 277, 831

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Least Common Multiple of 831 and 836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 831 and 836, than apply into the LCM equation.

GCF(831,836) = 1
LCM(831,836) = ( 831 × 836) / 1
LCM(831,836) = 694716 / 1
LCM(831,836) = 694716

Properties of LCM 831 and 836

(i) The LCM of 836 and 831 is associative

LCM of 831 and 836 = LCM of 836 and 831

Related Least Common Multiples of 831

Related Least Common Multiples of 836

Frequently Asked Questions on LCM of 831 and 836

1. What is the LCM of 831 and 836?

Answer: LCM of 831 and 836 is 694716.

2. 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.

3. What are the Factors of 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

4. How to Find the LCM of 831 and 836?

Answer:

Least Common Multiple of 831 and 836 = 694716

Step 1: Find the prime factorization of 831

831 = 3 x 277

Step 2: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

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

LCM = 694716 = 2 x 2 x 3 x 11 x 19 x 277

Step 4: Therefore, the least common multiple of 831 and 836 is 694716.