Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8331 and 8336 the smallest integer that is 69447216 that is divisible by both numbers.
Least Common Multiple (LCM) of 8331 and 8336 is 69447216.
LCM(8331,8336) = 69447216
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 8331 and 8336. First we will calculate the prime factors of 8331 and 8336.
Prime Factorization of 8331
3 | 8331 |
2777 | 2777 |
1 |
Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:
8331 = 31×27771
Prime Factorization of 8336
2 | 8336 |
2 | 4168 |
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:
8336 = 24×5211
Now multiplying the highest exponent prime factors to calculate the LCM of 8331 and 8336.
LCM(8331,8336) = 24×31×5211×27771
LCM(8331,8336) = 69447216
Factors of 8331
List of positive integer factors of 8331 that divides 8331 without a remainder.
1, 3, 2777, 8331
Factors of 8336
List of positive integer factors of 8336 that divides 8336 without a remainder.
1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8331 and 8336, than apply into the LCM equation.
GCF(8331,8336) = 1
LCM(8331,8336) = ( 8331 × 8336) / 1
LCM(8331,8336) = 69447216 / 1
LCM(8331,8336) = 69447216
(i) The LCM of 8336 and 8331 is associative
LCM of 8331 and 8336 = LCM of 8336 and 8331
1. What is the LCM of 8331 and 8336?
Answer: LCM of 8331 and 8336 is 69447216.
2. What are the Factors of 8331?
Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.
3. What are the Factors of 8336?
Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.
4. How to Find the LCM of 8331 and 8336?
Answer:
Least Common Multiple of 8331 and 8336 = 69447216
Step 1: Find the prime factorization of 8331
8331 = 3 x 2777
Step 2: Find the prime factorization of 8336
8336 = 2 x 2 x 2 x 2 x 521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69447216 = 2 x 2 x 2 x 2 x 3 x 521 x 2777
Step 4: Therefore, the least common multiple of 8331 and 8336 is 69447216.