Least Common Multiple of 5943 and 5945
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 5945 the smallest integer that is 35331135 that is divisible by both numbers.
Least Common Multiple (LCM) of 5943 and 5945 is 35331135.
LCM(5943,5945) = 35331135
LCM of 5943 and 5945
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5943 and 5945 by Prime method
- Least Common Multiple of 5943 and 5945 with GCF Formula
LCM of 5943 and 5945 is 35331135
Least common multiple can be found by multiplying the highest exponent prime factors of 5943 and 5945. First we will calculate the prime factors of 5943 and 5945.
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 5945
| 5 | 5945 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 5945 are 5, 29,41. Prime factorization of 5945 in exponential form is:
5945 = 51×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5943 and 5945.
LCM(5943,5945) = 31×51×71×291×411×2831
LCM(5943,5945) = 35331135
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 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1, 5, 29, 41, 145, 205, 1189, 5945
Least Common Multiple of 5943 and 5945 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 5945, than apply into the LCM equation.
GCF(5943,5945) = 1
LCM(5943,5945) = ( 5943 × 5945) / 1
LCM(5943,5945) = 35331135 / 1
LCM(5943,5945) = 35331135
Properties of LCM 5943 and 5945
(i) The LCM of 5945 and 5943 is associative
LCM of 5943 and 5945 = LCM of 5945 and 5943
Related Least Common Multiples of 5943
Related Least Common Multiples of 5945
Frequently Asked Questions on LCM of 5943 and 5945
1. What is the LCM of 5943 and 5945?
Answer: LCM of 5943 and 5945 is 35331135.
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 5945?
Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.
4. How to Find the LCM of 5943 and 5945?
Answer:
Least Common Multiple of 5943 and 5945 = 35331135
Step 1: Find the prime factorization of 5943
5943 = 3 x 7 x 283
Step 2: Find the prime factorization of 5945
5945 = 5 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35331135 = 3 x 5 x 7 x 29 x 41 x 283
Step 4: Therefore, the least common multiple of 5943 and 5945 is 35331135.