Least Common Multiple of 3811 and 3819
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 3819 the smallest integer that is 14554209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3811 and 3819 is 14554209.
LCM(3811,3819) = 14554209
LCM of 3811 and 3819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3811 and 3819 by Prime method
- Least Common Multiple of 3811 and 3819 with GCF Formula
LCM of 3811 and 3819 is 14554209
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3819. First we will calculate the prime factors of 3811 and 3819.
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 3819
| 3 | 3819 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 3819 are 3, 19,67. Prime factorization of 3819 in exponential form is:
3819 = 31×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3819.
LCM(3811,3819) = 31×191×371×671×1031
LCM(3811,3819) = 14554209
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1, 3, 19, 57, 67, 201, 1273, 3819
Least Common Multiple of 3811 and 3819 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 3819, than apply into the LCM equation.
GCF(3811,3819) = 1
LCM(3811,3819) = ( 3811 × 3819) / 1
LCM(3811,3819) = 14554209 / 1
LCM(3811,3819) = 14554209
Properties of LCM 3811 and 3819
(i) The LCM of 3819 and 3811 is associative
LCM of 3811 and 3819 = LCM of 3819 and 3811
Related Least Common Multiples of 3811
Related Least Common Multiples of 3819
Frequently Asked Questions on LCM of 3811 and 3819
1. What is the LCM of 3811 and 3819?
Answer: LCM of 3811 and 3819 is 14554209.
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 3819?
Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.
4. How to Find the LCM of 3811 and 3819?
Answer:
Least Common Multiple of 3811 and 3819 = 14554209
Step 1: Find the prime factorization of 3811
3811 = 37 x 103
Step 2: Find the prime factorization of 3819
3819 = 3 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14554209 = 3 x 19 x 37 x 67 x 103
Step 4: Therefore, the least common multiple of 3811 and 3819 is 14554209.