Least Common Multiple of 9913 and 9919
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 9919 the smallest integer that is 98327047 that is divisible by both numbers.
Least Common Multiple (LCM) of 9913 and 9919 is 98327047.
LCM(9913,9919) = 98327047
LCM of 9913 and 9919
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9913 and 9919 by Prime method
- Least Common Multiple of 9913 and 9919 with GCF Formula
LCM of 9913 and 9919 is 98327047
Least common multiple can be found by multiplying the highest exponent prime factors of 9913 and 9919. First we will calculate the prime factors of 9913 and 9919.
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 9919
| 7 | 9919 |
| 13 | 1417 |
| 109 | 109 |
| 1 |
Prime factors of 9919 are 7, 13,109. Prime factorization of 9919 in exponential form is:
9919 = 71×131×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 9913 and 9919.
LCM(9913,9919) = 71×131×231×1091×4311
LCM(9913,9919) = 98327047
Factors of 9913
List of positive integer factors of 9913 that divides 9913 without a remainder.
1, 23, 431, 9913
Factors of 9919
List of positive integer factors of 9919 that divides 9919 without a remainder.
1, 7, 13, 91, 109, 763, 1417, 9919
Least Common Multiple of 9913 and 9919 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 9919, than apply into the LCM equation.
GCF(9913,9919) = 1
LCM(9913,9919) = ( 9913 × 9919) / 1
LCM(9913,9919) = 98327047 / 1
LCM(9913,9919) = 98327047
Properties of LCM 9913 and 9919
(i) The LCM of 9919 and 9913 is associative
LCM of 9913 and 9919 = LCM of 9919 and 9913
Related Least Common Multiples of 9913
Related Least Common Multiples of 9919
Frequently Asked Questions on LCM of 9913 and 9919
1. What is the LCM of 9913 and 9919?
Answer: LCM of 9913 and 9919 is 98327047.
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 9919?
Answer: Factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919. There are 8 integers that are factors of 9919. The greatest factor of 9919 is 9919.
4. How to Find the LCM of 9913 and 9919?
Answer:
Least Common Multiple of 9913 and 9919 = 98327047
Step 1: Find the prime factorization of 9913
9913 = 23 x 431
Step 2: Find the prime factorization of 9919
9919 = 7 x 13 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98327047 = 7 x 13 x 23 x 109 x 431
Step 4: Therefore, the least common multiple of 9913 and 9919 is 98327047.