Least Common Multiple of 3791 and 3799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3791 and 3799 the smallest integer that is 14402009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3791 and 3799 is 14402009.
LCM(3791,3799) = 14402009
LCM of 3791 and 3799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3791 and 3799 by Prime method
- Least Common Multiple of 3791 and 3799 with GCF Formula
LCM of 3791 and 3799 is 14402009
Least common multiple can be found by multiplying the highest exponent prime factors of 3791 and 3799. First we will calculate the prime factors of 3791 and 3799.
Prime Factorization of 3791
| 17 | 3791 |
| 223 | 223 |
| 1 |
Prime factors of 3791 are 17,223. Prime factorization of 3791 in exponential form is:
3791 = 171×2231
Prime Factorization of 3799
| 29 | 3799 |
| 131 | 131 |
| 1 |
Prime factors of 3799 are 29,131. Prime factorization of 3799 in exponential form is:
3799 = 291×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 3791 and 3799.
LCM(3791,3799) = 171×291×1311×2231
LCM(3791,3799) = 14402009
Factors of 3791
List of positive integer factors of 3791 that divides 3791 without a remainder.
1, 17, 223, 3791
Factors of 3799
List of positive integer factors of 3799 that divides 3799 without a remainder.
1, 29, 131, 3799
Least Common Multiple of 3791 and 3799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3791 and 3799, than apply into the LCM equation.
GCF(3791,3799) = 1
LCM(3791,3799) = ( 3791 × 3799) / 1
LCM(3791,3799) = 14402009 / 1
LCM(3791,3799) = 14402009
Properties of LCM 3791 and 3799
(i) The LCM of 3799 and 3791 is associative
LCM of 3791 and 3799 = LCM of 3799 and 3791
Related Least Common Multiples of 3791
Related Least Common Multiples of 3799
Frequently Asked Questions on LCM of 3791 and 3799
1. What is the LCM of 3791 and 3799?
Answer: LCM of 3791 and 3799 is 14402009.
2. What are the Factors of 3791?
Answer: Factors of 3791 are 1, 17, 223, 3791. There are 4 integers that are factors of 3791. The greatest factor of 3791 is 3791.
3. What are the Factors of 3799?
Answer: Factors of 3799 are 1, 29, 131, 3799. There are 4 integers that are factors of 3799. The greatest factor of 3799 is 3799.
4. How to Find the LCM of 3791 and 3799?
Answer:
Least Common Multiple of 3791 and 3799 = 14402009
Step 1: Find the prime factorization of 3791
3791 = 17 x 223
Step 2: Find the prime factorization of 3799
3799 = 29 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14402009 = 17 x 29 x 131 x 223
Step 4: Therefore, the least common multiple of 3791 and 3799 is 14402009.