Least Common Multiple of 3995 and 4003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3995 and 4003 the smallest integer that is 15991985 that is divisible by both numbers.
Least Common Multiple (LCM) of 3995 and 4003 is 15991985.
LCM(3995,4003) = 15991985
LCM of 3995 and 4003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3995 and 4003 by Prime method
- Least Common Multiple of 3995 and 4003 with GCF Formula
LCM of 3995 and 4003 is 15991985
Least common multiple can be found by multiplying the highest exponent prime factors of 3995 and 4003. First we will calculate the prime factors of 3995 and 4003.
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
Prime Factorization of 4003
| 4003 | 4003 |
| 1 |
Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:
4003 = 40031
Now multiplying the highest exponent prime factors to calculate the LCM of 3995 and 4003.
LCM(3995,4003) = 51×171×471×40031
LCM(3995,4003) = 15991985
Factors of 3995
List of positive integer factors of 3995 that divides 3995 without a remainder.
1, 5, 17, 47, 85, 235, 799, 3995
Factors of 4003
List of positive integer factors of 4003 that divides 4003 without a remainder.
1, 4003
Least Common Multiple of 3995 and 4003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3995 and 4003, than apply into the LCM equation.
GCF(3995,4003) = 1
LCM(3995,4003) = ( 3995 × 4003) / 1
LCM(3995,4003) = 15991985 / 1
LCM(3995,4003) = 15991985
Properties of LCM 3995 and 4003
(i) The LCM of 4003 and 3995 is associative
LCM of 3995 and 4003 = LCM of 4003 and 3995
Related Least Common Multiples of 3995
Related Least Common Multiples of 4003
Frequently Asked Questions on LCM of 3995 and 4003
1. What is the LCM of 3995 and 4003?
Answer: LCM of 3995 and 4003 is 15991985.
2. 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.
3. What are the Factors of 4003?
Answer: Factors of 4003 are 1, 4003. There are 2 integers that are factors of 4003. The greatest factor of 4003 is 4003.
4. How to Find the LCM of 3995 and 4003?
Answer:
Least Common Multiple of 3995 and 4003 = 15991985
Step 1: Find the prime factorization of 3995
3995 = 5 x 17 x 47
Step 2: Find the prime factorization of 4003
4003 = 4003
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15991985 = 5 x 17 x 47 x 4003
Step 4: Therefore, the least common multiple of 3995 and 4003 is 15991985.