Least Common Multiple of 3959 and 3965
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3959 and 3965 the smallest integer that is 15697435 that is divisible by both numbers.
Least Common Multiple (LCM) of 3959 and 3965 is 15697435.
LCM(3959,3965) = 15697435
LCM of 3959 and 3965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3959 and 3965 by Prime method
- Least Common Multiple of 3959 and 3965 with GCF Formula
LCM of 3959 and 3965 is 15697435
Least common multiple can be found by multiplying the highest exponent prime factors of 3959 and 3965. First we will calculate the prime factors of 3959 and 3965.
Prime Factorization of 3959
| 37 | 3959 |
| 107 | 107 |
| 1 |
Prime factors of 3959 are 37,107. Prime factorization of 3959 in exponential form is:
3959 = 371×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3959 and 3965.
LCM(3959,3965) = 51×131×371×611×1071
LCM(3959,3965) = 15697435
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1, 37, 107, 3959
Factors of 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1, 5, 13, 61, 65, 305, 793, 3965
Least Common Multiple of 3959 and 3965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3959 and 3965, than apply into the LCM equation.
GCF(3959,3965) = 1
LCM(3959,3965) = ( 3959 × 3965) / 1
LCM(3959,3965) = 15697435 / 1
LCM(3959,3965) = 15697435
Properties of LCM 3959 and 3965
(i) The LCM of 3965 and 3959 is associative
LCM of 3959 and 3965 = LCM of 3965 and 3959
Related Least Common Multiples of 3959
Related Least Common Multiples of 3965
Frequently Asked Questions on LCM of 3959 and 3965
1. What is the LCM of 3959 and 3965?
Answer: LCM of 3959 and 3965 is 15697435.
2. What are the Factors of 3959?
Answer: Factors of 3959 are 1, 37, 107, 3959. There are 4 integers that are factors of 3959. The greatest factor of 3959 is 3959.
3. 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.
4. How to Find the LCM of 3959 and 3965?
Answer:
Least Common Multiple of 3959 and 3965 = 15697435
Step 1: Find the prime factorization of 3959
3959 = 37 x 107
Step 2: Find the prime factorization of 3965
3965 = 5 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15697435 = 5 x 13 x 37 x 61 x 107
Step 4: Therefore, the least common multiple of 3959 and 3965 is 15697435.