Least Common Multiple of 3991 and 3995
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3991 and 3995 the smallest integer that is 15944045 that is divisible by both numbers.
Least Common Multiple (LCM) of 3991 and 3995 is 15944045.
LCM(3991,3995) = 15944045
LCM of 3991 and 3995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3991 and 3995 by Prime method
- Least Common Multiple of 3991 and 3995 with GCF Formula
LCM of 3991 and 3995 is 15944045
Least common multiple can be found by multiplying the highest exponent prime factors of 3991 and 3995. First we will calculate the prime factors of 3991 and 3995.
Prime Factorization of 3991
| 13 | 3991 |
| 307 | 307 |
| 1 |
Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:
3991 = 131×3071
Prime Factorization of 3995
| 5 | 3995 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 3995 are 5, 17,47. Prime factorization of 3995 in exponential form is:
3995 = 51×171×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3991 and 3995.
LCM(3991,3995) = 51×131×171×471×3071
LCM(3991,3995) = 15944045
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1, 13, 307, 3991
Factors of 3995
List of positive integer factors of 3995 that divides 3995 without a remainder.
1, 5, 17, 47, 85, 235, 799, 3995
Least Common Multiple of 3991 and 3995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3991 and 3995, than apply into the LCM equation.
GCF(3991,3995) = 1
LCM(3991,3995) = ( 3991 × 3995) / 1
LCM(3991,3995) = 15944045 / 1
LCM(3991,3995) = 15944045
Properties of LCM 3991 and 3995
(i) The LCM of 3995 and 3991 is associative
LCM of 3991 and 3995 = LCM of 3995 and 3991
Related Least Common Multiples of 3991
Related Least Common Multiples of 3995
Frequently Asked Questions on LCM of 3991 and 3995
1. What is the LCM of 3991 and 3995?
Answer: LCM of 3991 and 3995 is 15944045.
2. What are the Factors of 3991?
Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.
3. What are the Factors of 3995?
Answer: Factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995. There are 8 integers that are factors of 3995. The greatest factor of 3995 is 3995.
4. How to Find the LCM of 3991 and 3995?
Answer:
Least Common Multiple of 3991 and 3995 = 15944045
Step 1: Find the prime factorization of 3991
3991 = 13 x 307
Step 2: Find the prime factorization of 3995
3995 = 5 x 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15944045 = 5 x 13 x 17 x 47 x 307
Step 4: Therefore, the least common multiple of 3991 and 3995 is 15944045.