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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 836 and 831 is associative
LCM of 831 and 836 = LCM of 836 and 831
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.