Least Common Multiple of 3783 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 3783 and 3791 the smallest integer that is 14341353 that is divisible by both numbers.
Least Common Multiple (LCM) of 3783 and 3791 is 14341353.
LCM(3783,3791) = 14341353
LCM of 3783 and 3791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3783 and 3791 by Prime method
- Least Common Multiple of 3783 and 3791 with GCF Formula
LCM of 3783 and 3791 is 14341353
Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3791. First we will calculate the prime factors of 3783 and 3791.
Prime Factorization of 3783
| 3 | 3783 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:
3783 = 31×131×971
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 3783 and 3791.
LCM(3783,3791) = 31×131×171×971×2231
LCM(3783,3791) = 14341353
Factors of 3783
List of positive integer factors of 3783 that divides 3783 without a remainder.
1, 3, 13, 39, 97, 291, 1261, 3783
Factors of 3791
List of positive integer factors of 3791 that divides 3791 without a remainder.
1, 17, 223, 3791
Least Common Multiple of 3783 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 3783 and 3791, than apply into the LCM equation.
GCF(3783,3791) = 1
LCM(3783,3791) = ( 3783 × 3791) / 1
LCM(3783,3791) = 14341353 / 1
LCM(3783,3791) = 14341353
Properties of LCM 3783 and 3791
(i) The LCM of 3791 and 3783 is associative
LCM of 3783 and 3791 = LCM of 3791 and 3783
Related Least Common Multiples of 3783
Related Least Common Multiples of 3791
Frequently Asked Questions on LCM of 3783 and 3791
1. What is the LCM of 3783 and 3791?
Answer: LCM of 3783 and 3791 is 14341353.
2. What are the Factors of 3783?
Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.
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 3783 and 3791?
Answer:
Least Common Multiple of 3783 and 3791 = 14341353
Step 1: Find the prime factorization of 3783
3783 = 3 x 13 x 97
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 = 14341353 = 3 x 13 x 17 x 97 x 223
Step 4: Therefore, the least common multiple of 3783 and 3791 is 14341353.