Least Common Multiple of 9939 and 9943
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 9943 the smallest integer that is 98823477 that is divisible by both numbers.
Least Common Multiple (LCM) of 9939 and 9943 is 98823477.
LCM(9939,9943) = 98823477
LCM of 9939 and 9943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9939 and 9943 by Prime method
- Least Common Multiple of 9939 and 9943 with GCF Formula
LCM of 9939 and 9943 is 98823477
Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9943. First we will calculate the prime factors of 9939 and 9943.
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 9943
| 61 | 9943 |
| 163 | 163 |
| 1 |
Prime factors of 9943 are 61,163. Prime factorization of 9943 in exponential form is:
9943 = 611×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9943.
LCM(9939,9943) = 31×611×1631×33131
LCM(9939,9943) = 98823477
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1, 3, 3313, 9939
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1, 61, 163, 9943
Least Common Multiple of 9939 and 9943 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 9943, than apply into the LCM equation.
GCF(9939,9943) = 1
LCM(9939,9943) = ( 9939 × 9943) / 1
LCM(9939,9943) = 98823477 / 1
LCM(9939,9943) = 98823477
Properties of LCM 9939 and 9943
(i) The LCM of 9943 and 9939 is associative
LCM of 9939 and 9943 = LCM of 9943 and 9939
Related Least Common Multiples of 9939
Related Least Common Multiples of 9943
Frequently Asked Questions on LCM of 9939 and 9943
1. What is the LCM of 9939 and 9943?
Answer: LCM of 9939 and 9943 is 98823477.
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 9943?
Answer: Factors of 9943 are 1, 61, 163, 9943. There are 4 integers that are factors of 9943. The greatest factor of 9943 is 9943.
4. How to Find the LCM of 9939 and 9943?
Answer:
Least Common Multiple of 9939 and 9943 = 98823477
Step 1: Find the prime factorization of 9939
9939 = 3 x 3313
Step 2: Find the prime factorization of 9943
9943 = 61 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98823477 = 3 x 61 x 163 x 3313
Step 4: Therefore, the least common multiple of 9939 and 9943 is 98823477.