Least Common Multiple of 9909 and 9913
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9909 and 9913 the smallest integer that is 98227917 that is divisible by both numbers.
Least Common Multiple (LCM) of 9909 and 9913 is 98227917.
LCM(9909,9913) = 98227917
LCM of 9909 and 9913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9909 and 9913 by Prime method
- Least Common Multiple of 9909 and 9913 with GCF Formula
LCM of 9909 and 9913 is 98227917
Least common multiple can be found by multiplying the highest exponent prime factors of 9909 and 9913. First we will calculate the prime factors of 9909 and 9913.
Prime Factorization of 9909
| 3 | 9909 |
| 3 | 3303 |
| 3 | 1101 |
| 367 | 367 |
| 1 |
Prime factors of 9909 are 3,367. Prime factorization of 9909 in exponential form is:
9909 = 33×3671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9909 and 9913.
LCM(9909,9913) = 33×231×3671×4311
LCM(9909,9913) = 98227917
Factors of 9909
List of positive integer factors of 9909 that divides 9909 without a remainder.
1, 3, 9, 27, 367, 1101, 3303, 9909
Factors of 9913
List of positive integer factors of 9913 that divides 9913 without a remainder.
1, 23, 431, 9913
Least Common Multiple of 9909 and 9913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9909 and 9913, than apply into the LCM equation.
GCF(9909,9913) = 1
LCM(9909,9913) = ( 9909 × 9913) / 1
LCM(9909,9913) = 98227917 / 1
LCM(9909,9913) = 98227917
Properties of LCM 9909 and 9913
(i) The LCM of 9913 and 9909 is associative
LCM of 9909 and 9913 = LCM of 9913 and 9909
Related Least Common Multiples of 9909
Related Least Common Multiples of 9913
Frequently Asked Questions on LCM of 9909 and 9913
1. What is the LCM of 9909 and 9913?
Answer: LCM of 9909 and 9913 is 98227917.
2. What are the Factors of 9909?
Answer: Factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909. There are 8 integers that are factors of 9909. The greatest factor of 9909 is 9909.
3. 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.
4. How to Find the LCM of 9909 and 9913?
Answer:
Least Common Multiple of 9909 and 9913 = 98227917
Step 1: Find the prime factorization of 9909
9909 = 3 x 3 x 3 x 367
Step 2: Find the prime factorization of 9913
9913 = 23 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98227917 = 3 x 3 x 3 x 23 x 367 x 431
Step 4: Therefore, the least common multiple of 9909 and 9913 is 98227917.