Least Common Multiple of 5913 and 5917
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 5917 the smallest integer that is 34987221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5913 and 5917 is 34987221.
LCM(5913,5917) = 34987221
LCM of 5913 and 5917
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5913 and 5917 by Prime method
- Least Common Multiple of 5913 and 5917 with GCF Formula
LCM of 5913 and 5917 is 34987221
Least common multiple can be found by multiplying the highest exponent prime factors of 5913 and 5917. First we will calculate the prime factors of 5913 and 5917.
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 5917
| 61 | 5917 |
| 97 | 97 |
| 1 |
Prime factors of 5917 are 61,97. Prime factorization of 5917 in exponential form is:
5917 = 611×971
Now multiplying the highest exponent prime factors to calculate the LCM of 5913 and 5917.
LCM(5913,5917) = 34×611×731×971
LCM(5913,5917) = 34987221
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 5917
List of positive integer factors of 5917 that divides 5917 without a remainder.
1, 61, 97, 5917
Least Common Multiple of 5913 and 5917 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 5917, than apply into the LCM equation.
GCF(5913,5917) = 1
LCM(5913,5917) = ( 5913 × 5917) / 1
LCM(5913,5917) = 34987221 / 1
LCM(5913,5917) = 34987221
Properties of LCM 5913 and 5917
(i) The LCM of 5917 and 5913 is associative
LCM of 5913 and 5917 = LCM of 5917 and 5913
Related Least Common Multiples of 5913
Related Least Common Multiples of 5917
Frequently Asked Questions on LCM of 5913 and 5917
1. What is the LCM of 5913 and 5917?
Answer: LCM of 5913 and 5917 is 34987221.
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 5917?
Answer: Factors of 5917 are 1, 61, 97, 5917. There are 4 integers that are factors of 5917. The greatest factor of 5917 is 5917.
4. How to Find the LCM of 5913 and 5917?
Answer:
Least Common Multiple of 5913 and 5917 = 34987221
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 5917
5917 = 61 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34987221 = 3 x 3 x 3 x 3 x 61 x 73 x 97
Step 4: Therefore, the least common multiple of 5913 and 5917 is 34987221.