Least Common Multiple of 5967 and 5975
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5967 and 5975 the smallest integer that is 35652825 that is divisible by both numbers.
Least Common Multiple (LCM) of 5967 and 5975 is 35652825.
LCM(5967,5975) = 35652825
LCM of 5967 and 5975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5967 and 5975 by Prime method
- Least Common Multiple of 5967 and 5975 with GCF Formula
LCM of 5967 and 5975 is 35652825
Least common multiple can be found by multiplying the highest exponent prime factors of 5967 and 5975. First we will calculate the prime factors of 5967 and 5975.
Prime Factorization of 5967
| 3 | 5967 |
| 3 | 1989 |
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 5967 are 3, 13,17. Prime factorization of 5967 in exponential form is:
5967 = 33×131×171
Prime Factorization of 5975
| 5 | 5975 |
| 5 | 1195 |
| 239 | 239 |
| 1 |
Prime factors of 5975 are 5,239. Prime factorization of 5975 in exponential form is:
5975 = 52×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5967 and 5975.
LCM(5967,5975) = 33×52×131×171×2391
LCM(5967,5975) = 35652825
Factors of 5967
List of positive integer factors of 5967 that divides 5967 without a remainder.
1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
Factors of 5975
List of positive integer factors of 5975 that divides 5975 without a remainder.
1, 5, 25, 239, 1195, 5975
Least Common Multiple of 5967 and 5975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5967 and 5975, than apply into the LCM equation.
GCF(5967,5975) = 1
LCM(5967,5975) = ( 5967 × 5975) / 1
LCM(5967,5975) = 35652825 / 1
LCM(5967,5975) = 35652825
Properties of LCM 5967 and 5975
(i) The LCM of 5975 and 5967 is associative
LCM of 5967 and 5975 = LCM of 5975 and 5967
Related Least Common Multiples of 5967
Related Least Common Multiples of 5975
Frequently Asked Questions on LCM of 5967 and 5975
1. What is the LCM of 5967 and 5975?
Answer: LCM of 5967 and 5975 is 35652825.
2. What are the Factors of 5967?
Answer: Factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. There are 16 integers that are factors of 5967. The greatest factor of 5967 is 5967.
3. What are the Factors of 5975?
Answer: Factors of 5975 are 1, 5, 25, 239, 1195, 5975. There are 6 integers that are factors of 5975. The greatest factor of 5975 is 5975.
4. How to Find the LCM of 5967 and 5975?
Answer:
Least Common Multiple of 5967 and 5975 = 35652825
Step 1: Find the prime factorization of 5967
5967 = 3 x 3 x 3 x 13 x 17
Step 2: Find the prime factorization of 5975
5975 = 5 x 5 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35652825 = 3 x 3 x 3 x 5 x 5 x 13 x 17 x 239
Step 4: Therefore, the least common multiple of 5967 and 5975 is 35652825.