Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8349 and 8356 the smallest integer that is 69764244 that is divisible by both numbers.
Least Common Multiple (LCM) of 8349 and 8356 is 69764244.
LCM(8349,8356) = 69764244
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 8349 and 8356. First we will calculate the prime factors of 8349 and 8356.
Prime Factorization of 8349
3 | 8349 |
11 | 2783 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 8349 are 3, 11,23. Prime factorization of 8349 in exponential form is:
8349 = 31×112×231
Prime Factorization of 8356
2 | 8356 |
2 | 4178 |
2089 | 2089 |
1 |
Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:
8356 = 22×20891
Now multiplying the highest exponent prime factors to calculate the LCM of 8349 and 8356.
LCM(8349,8356) = 22×31×112×231×20891
LCM(8349,8356) = 69764244
Factors of 8349
List of positive integer factors of 8349 that divides 8349 without a remainder.
1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
Factors of 8356
List of positive integer factors of 8356 that divides 8356 without a remainder.
1, 2, 4, 2089, 4178, 8356
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8349 and 8356, than apply into the LCM equation.
GCF(8349,8356) = 1
LCM(8349,8356) = ( 8349 × 8356) / 1
LCM(8349,8356) = 69764244 / 1
LCM(8349,8356) = 69764244
(i) The LCM of 8356 and 8349 is associative
LCM of 8349 and 8356 = LCM of 8356 and 8349
1. What is the LCM of 8349 and 8356?
Answer: LCM of 8349 and 8356 is 69764244.
2. What are the Factors of 8349?
Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.
3. What are the Factors of 8356?
Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.
4. How to Find the LCM of 8349 and 8356?
Answer:
Least Common Multiple of 8349 and 8356 = 69764244
Step 1: Find the prime factorization of 8349
8349 = 3 x 11 x 11 x 23
Step 2: Find the prime factorization of 8356
8356 = 2 x 2 x 2089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69764244 = 2 x 2 x 3 x 11 x 11 x 23 x 2089
Step 4: Therefore, the least common multiple of 8349 and 8356 is 69764244.