Least Common Multiple of 5967 and 5971
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 5971 the smallest integer that is 35628957 that is divisible by both numbers.
Least Common Multiple (LCM) of 5967 and 5971 is 35628957.
LCM(5967,5971) = 35628957
LCM of 5967 and 5971
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5967 and 5971 by Prime method
- Least Common Multiple of 5967 and 5971 with GCF Formula
LCM of 5967 and 5971 is 35628957
Least common multiple can be found by multiplying the highest exponent prime factors of 5967 and 5971. First we will calculate the prime factors of 5967 and 5971.
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 5971
| 7 | 5971 |
| 853 | 853 |
| 1 |
Prime factors of 5971 are 7,853. Prime factorization of 5971 in exponential form is:
5971 = 71×8531
Now multiplying the highest exponent prime factors to calculate the LCM of 5967 and 5971.
LCM(5967,5971) = 33×71×131×171×8531
LCM(5967,5971) = 35628957
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 5971
List of positive integer factors of 5971 that divides 5971 without a remainder.
1, 7, 853, 5971
Least Common Multiple of 5967 and 5971 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 5971, than apply into the LCM equation.
GCF(5967,5971) = 1
LCM(5967,5971) = ( 5967 × 5971) / 1
LCM(5967,5971) = 35628957 / 1
LCM(5967,5971) = 35628957
Properties of LCM 5967 and 5971
(i) The LCM of 5971 and 5967 is associative
LCM of 5967 and 5971 = LCM of 5971 and 5967
Related Least Common Multiples of 5967
Related Least Common Multiples of 5971
Frequently Asked Questions on LCM of 5967 and 5971
1. What is the LCM of 5967 and 5971?
Answer: LCM of 5967 and 5971 is 35628957.
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 5971?
Answer: Factors of 5971 are 1, 7, 853, 5971. There are 4 integers that are factors of 5971. The greatest factor of 5971 is 5971.
4. How to Find the LCM of 5967 and 5971?
Answer:
Least Common Multiple of 5967 and 5971 = 35628957
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 5971
5971 = 7 x 853
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35628957 = 3 x 3 x 3 x 7 x 13 x 17 x 853
Step 4: Therefore, the least common multiple of 5967 and 5971 is 35628957.