Least Common Multiple of 3791 and 3795
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 3795 the smallest integer that is 14386845 that is divisible by both numbers.
Least Common Multiple (LCM) of 3791 and 3795 is 14386845.
LCM(3791,3795) = 14386845
LCM of 3791 and 3795
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3791 and 3795 by Prime method
- Least Common Multiple of 3791 and 3795 with GCF Formula
LCM of 3791 and 3795 is 14386845
Least common multiple can be found by multiplying the highest exponent prime factors of 3791 and 3795. First we will calculate the prime factors of 3791 and 3795.
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 3795
| 3 | 3795 |
| 5 | 1265 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 3795 are 3, 5, 11,23. Prime factorization of 3795 in exponential form is:
3795 = 31×51×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3791 and 3795.
LCM(3791,3795) = 31×51×111×171×231×2231
LCM(3791,3795) = 14386845
Factors of 3791
List of positive integer factors of 3791 that divides 3791 without a remainder.
1, 17, 223, 3791
Factors of 3795
List of positive integer factors of 3795 that divides 3795 without a remainder.
1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795
Least Common Multiple of 3791 and 3795 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 3795, than apply into the LCM equation.
GCF(3791,3795) = 1
LCM(3791,3795) = ( 3791 × 3795) / 1
LCM(3791,3795) = 14386845 / 1
LCM(3791,3795) = 14386845
Properties of LCM 3791 and 3795
(i) The LCM of 3795 and 3791 is associative
LCM of 3791 and 3795 = LCM of 3795 and 3791
Related Least Common Multiples of 3791
Related Least Common Multiples of 3795
Frequently Asked Questions on LCM of 3791 and 3795
1. What is the LCM of 3791 and 3795?
Answer: LCM of 3791 and 3795 is 14386845.
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 3795?
Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.
4. How to Find the LCM of 3791 and 3795?
Answer:
Least Common Multiple of 3791 and 3795 = 14386845
Step 1: Find the prime factorization of 3791
3791 = 17 x 223
Step 2: Find the prime factorization of 3795
3795 = 3 x 5 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14386845 = 3 x 5 x 11 x 17 x 23 x 223
Step 4: Therefore, the least common multiple of 3791 and 3795 is 14386845.