Least Common Multiple of 3991 and 3999
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 3999 the smallest integer that is 15960009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3991 and 3999 is 15960009.
LCM(3991,3999) = 15960009
LCM of 3991 and 3999
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3991 and 3999 by Prime method
- Least Common Multiple of 3991 and 3999 with GCF Formula
LCM of 3991 and 3999 is 15960009
Least common multiple can be found by multiplying the highest exponent prime factors of 3991 and 3999. First we will calculate the prime factors of 3991 and 3999.
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 3999
| 3 | 3999 |
| 31 | 1333 |
| 43 | 43 |
| 1 |
Prime factors of 3999 are 3, 31,43. Prime factorization of 3999 in exponential form is:
3999 = 31×311×431
Now multiplying the highest exponent prime factors to calculate the LCM of 3991 and 3999.
LCM(3991,3999) = 31×131×311×431×3071
LCM(3991,3999) = 15960009
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1, 13, 307, 3991
Factors of 3999
List of positive integer factors of 3999 that divides 3999 without a remainder.
1, 3, 31, 43, 93, 129, 1333, 3999
Least Common Multiple of 3991 and 3999 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 3999, than apply into the LCM equation.
GCF(3991,3999) = 1
LCM(3991,3999) = ( 3991 × 3999) / 1
LCM(3991,3999) = 15960009 / 1
LCM(3991,3999) = 15960009
Properties of LCM 3991 and 3999
(i) The LCM of 3999 and 3991 is associative
LCM of 3991 and 3999 = LCM of 3999 and 3991
Related Least Common Multiples of 3991
Related Least Common Multiples of 3999
Frequently Asked Questions on LCM of 3991 and 3999
1. What is the LCM of 3991 and 3999?
Answer: LCM of 3991 and 3999 is 15960009.
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 3999?
Answer: Factors of 3999 are 1, 3, 31, 43, 93, 129, 1333, 3999. There are 8 integers that are factors of 3999. The greatest factor of 3999 is 3999.
4. How to Find the LCM of 3991 and 3999?
Answer:
Least Common Multiple of 3991 and 3999 = 15960009
Step 1: Find the prime factorization of 3991
3991 = 13 x 307
Step 2: Find the prime factorization of 3999
3999 = 3 x 31 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15960009 = 3 x 13 x 31 x 43 x 307
Step 4: Therefore, the least common multiple of 3991 and 3999 is 15960009.