Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5848 and 5856 the smallest integer that is 4280736 that is divisible by both numbers.
Least Common Multiple (LCM) of 5848 and 5856 is 4280736.
LCM(5848,5856) = 4280736
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 5848 and 5856. First we will calculate the prime factors of 5848 and 5856.
Prime Factorization of 5848
2 | 5848 |
2 | 2924 |
2 | 1462 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 5848 are 2, 17,43. Prime factorization of 5848 in exponential form is:
5848 = 23×171×431
Prime Factorization of 5856
2 | 5856 |
2 | 2928 |
2 | 1464 |
2 | 732 |
2 | 366 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 5856 are 2, 3,61. Prime factorization of 5856 in exponential form is:
5856 = 25×31×611
Now multiplying the highest exponent prime factors to calculate the LCM of 5848 and 5856.
LCM(5848,5856) = 25×31×171×431×611
LCM(5848,5856) = 4280736
Factors of 5848
List of positive integer factors of 5848 that divides 5848 without a remainder.
1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848
Factors of 5856
List of positive integer factors of 5856 that divides 5856 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5848 and 5856, than apply into the LCM equation.
GCF(5848,5856) = 8
LCM(5848,5856) = ( 5848 × 5856) / 8
LCM(5848,5856) = 34245888 / 8
LCM(5848,5856) = 4280736
(i) The LCM of 5856 and 5848 is associative
LCM of 5848 and 5856 = LCM of 5856 and 5848
1. What is the LCM of 5848 and 5856?
Answer: LCM of 5848 and 5856 is 4280736.
2. What are the Factors of 5848?
Answer: Factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848. There are 16 integers that are factors of 5848. The greatest factor of 5848 is 5848.
3. What are the Factors of 5856?
Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.
4. How to Find the LCM of 5848 and 5856?
Answer:
Least Common Multiple of 5848 and 5856 = 4280736
Step 1: Find the prime factorization of 5848
5848 = 2 x 2 x 2 x 17 x 43
Step 2: Find the prime factorization of 5856
5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4280736 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 43 x 61
Step 4: Therefore, the least common multiple of 5848 and 5856 is 4280736.