Least Common Multiple of 9935 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 9935 and 9943 the smallest integer that is 98783705 that is divisible by both numbers.
Least Common Multiple (LCM) of 9935 and 9943 is 98783705.
LCM(9935,9943) = 98783705
LCM of 9935 and 9943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9935 and 9943 by Prime method
- Least Common Multiple of 9935 and 9943 with GCF Formula
LCM of 9935 and 9943 is 98783705
Least common multiple can be found by multiplying the highest exponent prime factors of 9935 and 9943. First we will calculate the prime factors of 9935 and 9943.
Prime Factorization of 9935
| 5 | 9935 |
| 1987 | 1987 |
| 1 |
Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:
9935 = 51×19871
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 9935 and 9943.
LCM(9935,9943) = 51×611×1631×19871
LCM(9935,9943) = 98783705
Factors of 9935
List of positive integer factors of 9935 that divides 9935 without a remainder.
1, 5, 1987, 9935
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1, 61, 163, 9943
Least Common Multiple of 9935 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 9935 and 9943, than apply into the LCM equation.
GCF(9935,9943) = 1
LCM(9935,9943) = ( 9935 × 9943) / 1
LCM(9935,9943) = 98783705 / 1
LCM(9935,9943) = 98783705
Properties of LCM 9935 and 9943
(i) The LCM of 9943 and 9935 is associative
LCM of 9935 and 9943 = LCM of 9943 and 9935
Related Least Common Multiples of 9935
Related Least Common Multiples of 9943
Frequently Asked Questions on LCM of 9935 and 9943
1. What is the LCM of 9935 and 9943?
Answer: LCM of 9935 and 9943 is 98783705.
2. What are the Factors of 9935?
Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.
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 9935 and 9943?
Answer:
Least Common Multiple of 9935 and 9943 = 98783705
Step 1: Find the prime factorization of 9935
9935 = 5 x 1987
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 = 98783705 = 5 x 61 x 163 x 1987
Step 4: Therefore, the least common multiple of 9935 and 9943 is 98783705.