Least Common Multiple of 5943 and 5950
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5943 and 5950 the smallest integer that is 5051550 that is divisible by both numbers.
Least Common Multiple (LCM) of 5943 and 5950 is 5051550.
LCM(5943,5950) = 5051550
LCM of 5943 and 5950
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5943 and 5950 by Prime method
- Least Common Multiple of 5943 and 5950 with GCF Formula
LCM of 5943 and 5950 is 5051550
Least common multiple can be found by multiplying the highest exponent prime factors of 5943 and 5950. First we will calculate the prime factors of 5943 and 5950.
Prime Factorization of 5943
| 3 | 5943 |
| 7 | 1981 |
| 283 | 283 |
| 1 |
Prime factors of 5943 are 3, 7,283. Prime factorization of 5943 in exponential form is:
5943 = 31×71×2831
Prime Factorization of 5950
| 2 | 5950 |
| 5 | 2975 |
| 5 | 595 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 5950 are 2, 5, 7,17. Prime factorization of 5950 in exponential form is:
5950 = 21×52×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 5943 and 5950.
LCM(5943,5950) = 21×31×52×71×171×2831
LCM(5943,5950) = 5051550
Factors of 5943
List of positive integer factors of 5943 that divides 5943 without a remainder.
1, 3, 7, 21, 283, 849, 1981, 5943
Factors of 5950
List of positive integer factors of 5950 that divides 5950 without a remainder.
1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
Least Common Multiple of 5943 and 5950 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5943 and 5950, than apply into the LCM equation.
GCF(5943,5950) = 7
LCM(5943,5950) = ( 5943 × 5950) / 7
LCM(5943,5950) = 35360850 / 7
LCM(5943,5950) = 5051550
Properties of LCM 5943 and 5950
(i) The LCM of 5950 and 5943 is associative
LCM of 5943 and 5950 = LCM of 5950 and 5943
Related Least Common Multiples of 5943
Related Least Common Multiples of 5950
Frequently Asked Questions on LCM of 5943 and 5950
1. What is the LCM of 5943 and 5950?
Answer: LCM of 5943 and 5950 is 5051550.
2. What are the Factors of 5943?
Answer: Factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943. There are 8 integers that are factors of 5943. The greatest factor of 5943 is 5943.
3. What are the Factors of 5950?
Answer: Factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950. There are 24 integers that are factors of 5950. The greatest factor of 5950 is 5950.
4. How to Find the LCM of 5943 and 5950?
Answer:
Least Common Multiple of 5943 and 5950 = 5051550
Step 1: Find the prime factorization of 5943
5943 = 3 x 7 x 283
Step 2: Find the prime factorization of 5950
5950 = 2 x 5 x 5 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5051550 = 2 x 3 x 5 x 5 x 7 x 17 x 283
Step 4: Therefore, the least common multiple of 5943 and 5950 is 5051550.