Least Common Multiple of 3783 and 3786
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 3786 the smallest integer that is 4774146 that is divisible by both numbers.
Least Common Multiple (LCM) of 3783 and 3786 is 4774146.
LCM(3783,3786) = 4774146
LCM of 3783 and 3786
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3783 and 3786 by Prime method
- Least Common Multiple of 3783 and 3786 with GCF Formula
LCM of 3783 and 3786 is 4774146
Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3786. First we will calculate the prime factors of 3783 and 3786.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 3783 and 3786.
LCM(3783,3786) = 21×31×131×971×6311
LCM(3783,3786) = 4774146
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 3786
List of positive integer factors of 3786 that divides 3786 without a remainder.
1, 2, 3, 6, 631, 1262, 1893, 3786
Least Common Multiple of 3783 and 3786 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 3786, than apply into the LCM equation.
GCF(3783,3786) = 3
LCM(3783,3786) = ( 3783 × 3786) / 3
LCM(3783,3786) = 14322438 / 3
LCM(3783,3786) = 4774146
Properties of LCM 3783 and 3786
(i) The LCM of 3786 and 3783 is associative
LCM of 3783 and 3786 = LCM of 3786 and 3783
Related Least Common Multiples of 3783
Related Least Common Multiples of 3786
Frequently Asked Questions on LCM of 3783 and 3786
1. What is the LCM of 3783 and 3786?
Answer: LCM of 3783 and 3786 is 4774146.
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 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.
4. How to Find the LCM of 3783 and 3786?
Answer:
Least Common Multiple of 3783 and 3786 = 4774146
Step 1: Find the prime factorization of 3783
3783 = 3 x 13 x 97
Step 2: Find the prime factorization of 3786
3786 = 2 x 3 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4774146 = 2 x 3 x 13 x 97 x 631
Step 4: Therefore, the least common multiple of 3783 and 3786 is 4774146.