Least Common Multiple of 5971 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 5971 and 5975 the smallest integer that is 35676725 that is divisible by both numbers.
Least Common Multiple (LCM) of 5971 and 5975 is 35676725.
LCM(5971,5975) = 35676725
LCM of 5971 and 5975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5971 and 5975 by Prime method
- Least Common Multiple of 5971 and 5975 with GCF Formula
LCM of 5971 and 5975 is 35676725
Least common multiple can be found by multiplying the highest exponent prime factors of 5971 and 5975. First we will calculate the prime factors of 5971 and 5975.
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
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 5971 and 5975.
LCM(5971,5975) = 52×71×2391×8531
LCM(5971,5975) = 35676725
Factors of 5971
List of positive integer factors of 5971 that divides 5971 without a remainder.
1, 7, 853, 5971
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 5971 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 5971 and 5975, than apply into the LCM equation.
GCF(5971,5975) = 1
LCM(5971,5975) = ( 5971 × 5975) / 1
LCM(5971,5975) = 35676725 / 1
LCM(5971,5975) = 35676725
Properties of LCM 5971 and 5975
(i) The LCM of 5975 and 5971 is associative
LCM of 5971 and 5975 = LCM of 5975 and 5971
Related Least Common Multiples of 5971
Related Least Common Multiples of 5975
Frequently Asked Questions on LCM of 5971 and 5975
1. What is the LCM of 5971 and 5975?
Answer: LCM of 5971 and 5975 is 35676725.
2. 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.
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 5971 and 5975?
Answer:
Least Common Multiple of 5971 and 5975 = 35676725
Step 1: Find the prime factorization of 5971
5971 = 7 x 853
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 = 35676725 = 5 x 5 x 7 x 239 x 853
Step 4: Therefore, the least common multiple of 5971 and 5975 is 35676725.