Least Common Multiple of 9959 and 9965
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9959 and 9965 the smallest integer that is 99241435 that is divisible by both numbers.
Least Common Multiple (LCM) of 9959 and 9965 is 99241435.
LCM(9959,9965) = 99241435
LCM of 9959 and 9965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9959 and 9965 by Prime method
- Least Common Multiple of 9959 and 9965 with GCF Formula
LCM of 9959 and 9965 is 99241435
Least common multiple can be found by multiplying the highest exponent prime factors of 9959 and 9965. First we will calculate the prime factors of 9959 and 9965.
Prime Factorization of 9959
| 23 | 9959 |
| 433 | 433 |
| 1 |
Prime factors of 9959 are 23,433. Prime factorization of 9959 in exponential form is:
9959 = 231×4331
Prime Factorization of 9965
| 5 | 9965 |
| 1993 | 1993 |
| 1 |
Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:
9965 = 51×19931
Now multiplying the highest exponent prime factors to calculate the LCM of 9959 and 9965.
LCM(9959,9965) = 51×231×4331×19931
LCM(9959,9965) = 99241435
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1, 23, 433, 9959
Factors of 9965
List of positive integer factors of 9965 that divides 9965 without a remainder.
1, 5, 1993, 9965
Least Common Multiple of 9959 and 9965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9959 and 9965, than apply into the LCM equation.
GCF(9959,9965) = 1
LCM(9959,9965) = ( 9959 × 9965) / 1
LCM(9959,9965) = 99241435 / 1
LCM(9959,9965) = 99241435
Properties of LCM 9959 and 9965
(i) The LCM of 9965 and 9959 is associative
LCM of 9959 and 9965 = LCM of 9965 and 9959
Related Least Common Multiples of 9959
Related Least Common Multiples of 9965
Frequently Asked Questions on LCM of 9959 and 9965
1. What is the LCM of 9959 and 9965?
Answer: LCM of 9959 and 9965 is 99241435.
2. What are the Factors of 9959?
Answer: Factors of 9959 are 1, 23, 433, 9959. There are 4 integers that are factors of 9959. The greatest factor of 9959 is 9959.
3. What are the Factors of 9965?
Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.
4. How to Find the LCM of 9959 and 9965?
Answer:
Least Common Multiple of 9959 and 9965 = 99241435
Step 1: Find the prime factorization of 9959
9959 = 23 x 433
Step 2: Find the prime factorization of 9965
9965 = 5 x 1993
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99241435 = 5 x 23 x 433 x 1993
Step 4: Therefore, the least common multiple of 9959 and 9965 is 99241435.