Least Common Multiple of 3804 and 3811
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3804 and 3811 the smallest integer that is 14497044 that is divisible by both numbers.
Least Common Multiple (LCM) of 3804 and 3811 is 14497044.
LCM(3804,3811) = 14497044
LCM of 3804 and 3811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3804 and 3811 by Prime method
- Least Common Multiple of 3804 and 3811 with GCF Formula
LCM of 3804 and 3811 is 14497044
Least common multiple can be found by multiplying the highest exponent prime factors of 3804 and 3811. First we will calculate the prime factors of 3804 and 3811.
Prime Factorization of 3804
| 2 | 3804 |
| 2 | 1902 |
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 3804 are 2, 3,317. Prime factorization of 3804 in exponential form is:
3804 = 22×31×3171
Prime Factorization of 3811
| 37 | 3811 |
| 103 | 103 |
| 1 |
Prime factors of 3811 are 37,103. Prime factorization of 3811 in exponential form is:
3811 = 371×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3804 and 3811.
LCM(3804,3811) = 22×31×371×1031×3171
LCM(3804,3811) = 14497044
Factors of 3804
List of positive integer factors of 3804 that divides 3804 without a remainder.
1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Least Common Multiple of 3804 and 3811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3804 and 3811, than apply into the LCM equation.
GCF(3804,3811) = 1
LCM(3804,3811) = ( 3804 × 3811) / 1
LCM(3804,3811) = 14497044 / 1
LCM(3804,3811) = 14497044
Properties of LCM 3804 and 3811
(i) The LCM of 3811 and 3804 is associative
LCM of 3804 and 3811 = LCM of 3811 and 3804
Related Least Common Multiples of 3804
Related Least Common Multiples of 3811
Frequently Asked Questions on LCM of 3804 and 3811
1. What is the LCM of 3804 and 3811?
Answer: LCM of 3804 and 3811 is 14497044.
2. What are the Factors of 3804?
Answer: Factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804. There are 12 integers that are factors of 3804. The greatest factor of 3804 is 3804.
3. What are the Factors of 3811?
Answer: Factors of 3811 are 1, 37, 103, 3811. There are 4 integers that are factors of 3811. The greatest factor of 3811 is 3811.
4. How to Find the LCM of 3804 and 3811?
Answer:
Least Common Multiple of 3804 and 3811 = 14497044
Step 1: Find the prime factorization of 3804
3804 = 2 x 2 x 3 x 317
Step 2: Find the prime factorization of 3811
3811 = 37 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14497044 = 2 x 2 x 3 x 37 x 103 x 317
Step 4: Therefore, the least common multiple of 3804 and 3811 is 14497044.