Least Common Multiple of 9955 and 9959
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9955 and 9959 the smallest integer that is 99141845 that is divisible by both numbers.
Least Common Multiple (LCM) of 9955 and 9959 is 99141845.
LCM(9955,9959) = 99141845
LCM of 9955 and 9959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9955 and 9959 by Prime method
- Least Common Multiple of 9955 and 9959 with GCF Formula
LCM of 9955 and 9959 is 99141845
Least common multiple can be found by multiplying the highest exponent prime factors of 9955 and 9959. First we will calculate the prime factors of 9955 and 9959.
Prime Factorization of 9955
| 5 | 9955 |
| 11 | 1991 |
| 181 | 181 |
| 1 |
Prime factors of 9955 are 5, 11,181. Prime factorization of 9955 in exponential form is:
9955 = 51×111×1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9955 and 9959.
LCM(9955,9959) = 51×111×231×1811×4331
LCM(9955,9959) = 99141845
Factors of 9955
List of positive integer factors of 9955 that divides 9955 without a remainder.
1, 5, 11, 55, 181, 905, 1991, 9955
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1, 23, 433, 9959
Least Common Multiple of 9955 and 9959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9955 and 9959, than apply into the LCM equation.
GCF(9955,9959) = 1
LCM(9955,9959) = ( 9955 × 9959) / 1
LCM(9955,9959) = 99141845 / 1
LCM(9955,9959) = 99141845
Properties of LCM 9955 and 9959
(i) The LCM of 9959 and 9955 is associative
LCM of 9955 and 9959 = LCM of 9959 and 9955
Related Least Common Multiples of 9955
Related Least Common Multiples of 9959
Frequently Asked Questions on LCM of 9955 and 9959
1. What is the LCM of 9955 and 9959?
Answer: LCM of 9955 and 9959 is 99141845.
2. What are the Factors of 9955?
Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.
3. 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.
4. How to Find the LCM of 9955 and 9959?
Answer:
Least Common Multiple of 9955 and 9959 = 99141845
Step 1: Find the prime factorization of 9955
9955 = 5 x 11 x 181
Step 2: Find the prime factorization of 9959
9959 = 23 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99141845 = 5 x 11 x 23 x 181 x 433
Step 4: Therefore, the least common multiple of 9955 and 9959 is 99141845.