Least Common Multiple of 9947 and 9955
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9947 and 9955 the smallest integer that is 99022385 that is divisible by both numbers.
Least Common Multiple (LCM) of 9947 and 9955 is 99022385.
LCM(9947,9955) = 99022385
LCM of 9947 and 9955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9947 and 9955 by Prime method
- Least Common Multiple of 9947 and 9955 with GCF Formula
LCM of 9947 and 9955 is 99022385
Least common multiple can be found by multiplying the highest exponent prime factors of 9947 and 9955. First we will calculate the prime factors of 9947 and 9955.
Prime Factorization of 9947
| 7 | 9947 |
| 7 | 1421 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 9947 are 7,29. Prime factorization of 9947 in exponential form is:
9947 = 73×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9947 and 9955.
LCM(9947,9955) = 51×73×111×291×1811
LCM(9947,9955) = 99022385
Factors of 9947
List of positive integer factors of 9947 that divides 9947 without a remainder.
1, 7, 29, 49, 203, 343, 1421, 9947
Factors of 9955
List of positive integer factors of 9955 that divides 9955 without a remainder.
1, 5, 11, 55, 181, 905, 1991, 9955
Least Common Multiple of 9947 and 9955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9947 and 9955, than apply into the LCM equation.
GCF(9947,9955) = 1
LCM(9947,9955) = ( 9947 × 9955) / 1
LCM(9947,9955) = 99022385 / 1
LCM(9947,9955) = 99022385
Properties of LCM 9947 and 9955
(i) The LCM of 9955 and 9947 is associative
LCM of 9947 and 9955 = LCM of 9955 and 9947
Related Least Common Multiples of 9947
Related Least Common Multiples of 9955
Frequently Asked Questions on LCM of 9947 and 9955
1. What is the LCM of 9947 and 9955?
Answer: LCM of 9947 and 9955 is 99022385.
2. What are the Factors of 9947?
Answer: Factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947. There are 8 integers that are factors of 9947. The greatest factor of 9947 is 9947.
3. 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.
4. How to Find the LCM of 9947 and 9955?
Answer:
Least Common Multiple of 9947 and 9955 = 99022385
Step 1: Find the prime factorization of 9947
9947 = 7 x 7 x 7 x 29
Step 2: Find the prime factorization of 9955
9955 = 5 x 11 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99022385 = 5 x 7 x 7 x 7 x 11 x 29 x 181
Step 4: Therefore, the least common multiple of 9947 and 9955 is 99022385.