Least Common Multiple of 3811 and 3813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3811 and 3813 the smallest integer that is 14531343 that is divisible by both numbers.
Least Common Multiple (LCM) of 3811 and 3813 is 14531343.
LCM(3811,3813) = 14531343
LCM of 3811 and 3813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3811 and 3813 by Prime method
- Least Common Multiple of 3811 and 3813 with GCF Formula
LCM of 3811 and 3813 is 14531343
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3813. First we will calculate the prime factors of 3811 and 3813.
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
Prime Factorization of 3813
| 3 | 3813 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 3813 are 3, 31,41. Prime factorization of 3813 in exponential form is:
3813 = 31×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3813.
LCM(3811,3813) = 31×311×371×411×1031
LCM(3811,3813) = 14531343
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1, 3, 31, 41, 93, 123, 1271, 3813
Least Common Multiple of 3811 and 3813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3811 and 3813, than apply into the LCM equation.
GCF(3811,3813) = 1
LCM(3811,3813) = ( 3811 × 3813) / 1
LCM(3811,3813) = 14531343 / 1
LCM(3811,3813) = 14531343
Properties of LCM 3811 and 3813
(i) The LCM of 3813 and 3811 is associative
LCM of 3811 and 3813 = LCM of 3813 and 3811
Related Least Common Multiples of 3811
Related Least Common Multiples of 3813
Frequently Asked Questions on LCM of 3811 and 3813
1. What is the LCM of 3811 and 3813?
Answer: LCM of 3811 and 3813 is 14531343.
2. 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.
3. What are the Factors of 3813?
Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.
4. How to Find the LCM of 3811 and 3813?
Answer:
Least Common Multiple of 3811 and 3813 = 14531343
Step 1: Find the prime factorization of 3811
3811 = 37 x 103
Step 2: Find the prime factorization of 3813
3813 = 3 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14531343 = 3 x 31 x 37 x 41 x 103
Step 4: Therefore, the least common multiple of 3811 and 3813 is 14531343.