Least Common Multiple of 3786 and 3791
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3786 and 3791 the smallest integer that is 14352726 that is divisible by both numbers.
Least Common Multiple (LCM) of 3786 and 3791 is 14352726.
LCM(3786,3791) = 14352726
LCM of 3786 and 3791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3786 and 3791 by Prime method
- Least Common Multiple of 3786 and 3791 with GCF Formula
LCM of 3786 and 3791 is 14352726
Least common multiple can be found by multiplying the highest exponent prime factors of 3786 and 3791. First we will calculate the prime factors of 3786 and 3791.
Prime Factorization of 3786
| 2 | 3786 |
| 3 | 1893 |
| 631 | 631 |
| 1 |
Prime factors of 3786 are 2, 3,631. Prime factorization of 3786 in exponential form is:
3786 = 21×31×6311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3786 and 3791.
LCM(3786,3791) = 21×31×171×2231×6311
LCM(3786,3791) = 14352726
Factors of 3786
List of positive integer factors of 3786 that divides 3786 without a remainder.
1, 2, 3, 6, 631, 1262, 1893, 3786
Factors of 3791
List of positive integer factors of 3791 that divides 3791 without a remainder.
1, 17, 223, 3791
Least Common Multiple of 3786 and 3791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3786 and 3791, than apply into the LCM equation.
GCF(3786,3791) = 1
LCM(3786,3791) = ( 3786 × 3791) / 1
LCM(3786,3791) = 14352726 / 1
LCM(3786,3791) = 14352726
Properties of LCM 3786 and 3791
(i) The LCM of 3791 and 3786 is associative
LCM of 3786 and 3791 = LCM of 3791 and 3786
Related Least Common Multiples of 3786
Related Least Common Multiples of 3791
Frequently Asked Questions on LCM of 3786 and 3791
1. What is the LCM of 3786 and 3791?
Answer: LCM of 3786 and 3791 is 14352726.
2. What are the Factors of 3786?
Answer: Factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786. There are 8 integers that are factors of 3786. The greatest factor of 3786 is 3786.
3. 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.
4. How to Find the LCM of 3786 and 3791?
Answer:
Least Common Multiple of 3786 and 3791 = 14352726
Step 1: Find the prime factorization of 3786
3786 = 2 x 3 x 631
Step 2: Find the prime factorization of 3791
3791 = 17 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14352726 = 2 x 3 x 17 x 223 x 631
Step 4: Therefore, the least common multiple of 3786 and 3791 is 14352726.