Least Common Multiple of 9913 and 9918
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9913 and 9918 the smallest integer that is 98317134 that is divisible by both numbers.
Least Common Multiple (LCM) of 9913 and 9918 is 98317134.
LCM(9913,9918) = 98317134
LCM of 9913 and 9918
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9913 and 9918 by Prime method
- Least Common Multiple of 9913 and 9918 with GCF Formula
LCM of 9913 and 9918 is 98317134
Least common multiple can be found by multiplying the highest exponent prime factors of 9913 and 9918. First we will calculate the prime factors of 9913 and 9918.
Prime Factorization of 9913
| 23 | 9913 |
| 431 | 431 |
| 1 |
Prime factors of 9913 are 23,431. Prime factorization of 9913 in exponential form is:
9913 = 231×4311
Prime Factorization of 9918
| 2 | 9918 |
| 3 | 4959 |
| 3 | 1653 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 9918 are 2, 3, 19,29. Prime factorization of 9918 in exponential form is:
9918 = 21×32×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9913 and 9918.
LCM(9913,9918) = 21×32×191×231×291×4311
LCM(9913,9918) = 98317134
Factors of 9913
List of positive integer factors of 9913 that divides 9913 without a remainder.
1, 23, 431, 9913
Factors of 9918
List of positive integer factors of 9918 that divides 9918 without a remainder.
1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
Least Common Multiple of 9913 and 9918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9913 and 9918, than apply into the LCM equation.
GCF(9913,9918) = 1
LCM(9913,9918) = ( 9913 × 9918) / 1
LCM(9913,9918) = 98317134 / 1
LCM(9913,9918) = 98317134
Properties of LCM 9913 and 9918
(i) The LCM of 9918 and 9913 is associative
LCM of 9913 and 9918 = LCM of 9918 and 9913
Related Least Common Multiples of 9913
Related Least Common Multiples of 9918
Frequently Asked Questions on LCM of 9913 and 9918
1. What is the LCM of 9913 and 9918?
Answer: LCM of 9913 and 9918 is 98317134.
2. What are the Factors of 9913?
Answer: Factors of 9913 are 1, 23, 431, 9913. There are 4 integers that are factors of 9913. The greatest factor of 9913 is 9913.
3. What are the Factors of 9918?
Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.
4. How to Find the LCM of 9913 and 9918?
Answer:
Least Common Multiple of 9913 and 9918 = 98317134
Step 1: Find the prime factorization of 9913
9913 = 23 x 431
Step 2: Find the prime factorization of 9918
9918 = 2 x 3 x 3 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98317134 = 2 x 3 x 3 x 19 x 23 x 29 x 431
Step 4: Therefore, the least common multiple of 9913 and 9918 is 98317134.