Least Common Multiple of 5913 and 5918
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5913 and 5918 the smallest integer that is 34993134 that is divisible by both numbers.
Least Common Multiple (LCM) of 5913 and 5918 is 34993134.
LCM(5913,5918) = 34993134
LCM of 5913 and 5918
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5913 and 5918 by Prime method
- Least Common Multiple of 5913 and 5918 with GCF Formula
LCM of 5913 and 5918 is 34993134
Least common multiple can be found by multiplying the highest exponent prime factors of 5913 and 5918. First we will calculate the prime factors of 5913 and 5918.
Prime Factorization of 5913
| 3 | 5913 |
| 3 | 1971 |
| 3 | 657 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 5913 are 3,73. Prime factorization of 5913 in exponential form is:
5913 = 34×731
Prime Factorization of 5918
| 2 | 5918 |
| 11 | 2959 |
| 269 | 269 |
| 1 |
Prime factors of 5918 are 2, 11,269. Prime factorization of 5918 in exponential form is:
5918 = 21×111×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 5913 and 5918.
LCM(5913,5918) = 21×34×111×731×2691
LCM(5913,5918) = 34993134
Factors of 5913
List of positive integer factors of 5913 that divides 5913 without a remainder.
1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
Factors of 5918
List of positive integer factors of 5918 that divides 5918 without a remainder.
1, 2, 11, 22, 269, 538, 2959, 5918
Least Common Multiple of 5913 and 5918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5913 and 5918, than apply into the LCM equation.
GCF(5913,5918) = 1
LCM(5913,5918) = ( 5913 × 5918) / 1
LCM(5913,5918) = 34993134 / 1
LCM(5913,5918) = 34993134
Properties of LCM 5913 and 5918
(i) The LCM of 5918 and 5913 is associative
LCM of 5913 and 5918 = LCM of 5918 and 5913
Related Least Common Multiples of 5913
Related Least Common Multiples of 5918
Frequently Asked Questions on LCM of 5913 and 5918
1. What is the LCM of 5913 and 5918?
Answer: LCM of 5913 and 5918 is 34993134.
2. What are the Factors of 5913?
Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.
3. What are the Factors of 5918?
Answer: Factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918. There are 8 integers that are factors of 5918. The greatest factor of 5918 is 5918.
4. How to Find the LCM of 5913 and 5918?
Answer:
Least Common Multiple of 5913 and 5918 = 34993134
Step 1: Find the prime factorization of 5913
5913 = 3 x 3 x 3 x 3 x 73
Step 2: Find the prime factorization of 5918
5918 = 2 x 11 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34993134 = 2 x 3 x 3 x 3 x 3 x 11 x 73 x 269
Step 4: Therefore, the least common multiple of 5913 and 5918 is 34993134.