Least Common Multiple of 9939 and 9947
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9939 and 9947 the smallest integer that is 98863233 that is divisible by both numbers.
Least Common Multiple (LCM) of 9939 and 9947 is 98863233.
LCM(9939,9947) = 98863233
LCM of 9939 and 9947
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9939 and 9947 by Prime method
- Least Common Multiple of 9939 and 9947 with GCF Formula
LCM of 9939 and 9947 is 98863233
Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9947. First we will calculate the prime factors of 9939 and 9947.
Prime Factorization of 9939
| 3 | 9939 |
| 3313 | 3313 |
| 1 |
Prime factors of 9939 are 3,3313. Prime factorization of 9939 in exponential form is:
9939 = 31×33131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9947.
LCM(9939,9947) = 31×73×291×33131
LCM(9939,9947) = 98863233
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1, 3, 3313, 9939
Factors of 9947
List of positive integer factors of 9947 that divides 9947 without a remainder.
1, 7, 29, 49, 203, 343, 1421, 9947
Least Common Multiple of 9939 and 9947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9939 and 9947, than apply into the LCM equation.
GCF(9939,9947) = 1
LCM(9939,9947) = ( 9939 × 9947) / 1
LCM(9939,9947) = 98863233 / 1
LCM(9939,9947) = 98863233
Properties of LCM 9939 and 9947
(i) The LCM of 9947 and 9939 is associative
LCM of 9939 and 9947 = LCM of 9947 and 9939
Related Least Common Multiples of 9939
Related Least Common Multiples of 9947
Frequently Asked Questions on LCM of 9939 and 9947
1. What is the LCM of 9939 and 9947?
Answer: LCM of 9939 and 9947 is 98863233.
2. What are the Factors of 9939?
Answer: Factors of 9939 are 1, 3, 3313, 9939. There are 4 integers that are factors of 9939. The greatest factor of 9939 is 9939.
3. 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.
4. How to Find the LCM of 9939 and 9947?
Answer:
Least Common Multiple of 9939 and 9947 = 98863233
Step 1: Find the prime factorization of 9939
9939 = 3 x 3313
Step 2: Find the prime factorization of 9947
9947 = 7 x 7 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98863233 = 3 x 7 x 7 x 7 x 29 x 3313
Step 4: Therefore, the least common multiple of 9939 and 9947 is 98863233.