Least Common Multiple of 3965 and 3971
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3965 and 3971 the smallest integer that is 15745015 that is divisible by both numbers.
Least Common Multiple (LCM) of 3965 and 3971 is 15745015.
LCM(3965,3971) = 15745015
LCM of 3965 and 3971
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3965 and 3971 by Prime method
- Least Common Multiple of 3965 and 3971 with GCF Formula
LCM of 3965 and 3971 is 15745015
Least common multiple can be found by multiplying the highest exponent prime factors of 3965 and 3971. First we will calculate the prime factors of 3965 and 3971.
Prime Factorization of 3965
| 5 | 3965 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 3965 are 5, 13,61. Prime factorization of 3965 in exponential form is:
3965 = 51×131×611
Prime Factorization of 3971
| 11 | 3971 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3971 are 11,19. Prime factorization of 3971 in exponential form is:
3971 = 111×192
Now multiplying the highest exponent prime factors to calculate the LCM of 3965 and 3971.
LCM(3965,3971) = 51×111×131×192×611
LCM(3965,3971) = 15745015
Factors of 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1, 5, 13, 61, 65, 305, 793, 3965
Factors of 3971
List of positive integer factors of 3971 that divides 3971 without a remainder.
1, 11, 19, 209, 361, 3971
Least Common Multiple of 3965 and 3971 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3965 and 3971, than apply into the LCM equation.
GCF(3965,3971) = 1
LCM(3965,3971) = ( 3965 × 3971) / 1
LCM(3965,3971) = 15745015 / 1
LCM(3965,3971) = 15745015
Properties of LCM 3965 and 3971
(i) The LCM of 3971 and 3965 is associative
LCM of 3965 and 3971 = LCM of 3971 and 3965
Related Least Common Multiples of 3965
Related Least Common Multiples of 3971
Frequently Asked Questions on LCM of 3965 and 3971
1. What is the LCM of 3965 and 3971?
Answer: LCM of 3965 and 3971 is 15745015.
2. What are the Factors of 3965?
Answer: Factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965. There are 8 integers that are factors of 3965. The greatest factor of 3965 is 3965.
3. What are the Factors of 3971?
Answer: Factors of 3971 are 1, 11, 19, 209, 361, 3971. There are 6 integers that are factors of 3971. The greatest factor of 3971 is 3971.
4. How to Find the LCM of 3965 and 3971?
Answer:
Least Common Multiple of 3965 and 3971 = 15745015
Step 1: Find the prime factorization of 3965
3965 = 5 x 13 x 61
Step 2: Find the prime factorization of 3971
3971 = 11 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15745015 = 5 x 11 x 13 x 19 x 19 x 61
Step 4: Therefore, the least common multiple of 3965 and 3971 is 15745015.