Least Common Multiple of 3811 and 3818
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 3818 the smallest integer that is 14550398 that is divisible by both numbers.
Least Common Multiple (LCM) of 3811 and 3818 is 14550398.
LCM(3811,3818) = 14550398
LCM of 3811 and 3818
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3811 and 3818 by Prime method
- Least Common Multiple of 3811 and 3818 with GCF Formula
LCM of 3811 and 3818 is 14550398
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3818. First we will calculate the prime factors of 3811 and 3818.
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 3818
| 2 | 3818 |
| 23 | 1909 |
| 83 | 83 |
| 1 |
Prime factors of 3818 are 2, 23,83. Prime factorization of 3818 in exponential form is:
3818 = 21×231×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3818.
LCM(3811,3818) = 21×231×371×831×1031
LCM(3811,3818) = 14550398
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Factors of 3818
List of positive integer factors of 3818 that divides 3818 without a remainder.
1, 2, 23, 46, 83, 166, 1909, 3818
Least Common Multiple of 3811 and 3818 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 3818, than apply into the LCM equation.
GCF(3811,3818) = 1
LCM(3811,3818) = ( 3811 × 3818) / 1
LCM(3811,3818) = 14550398 / 1
LCM(3811,3818) = 14550398
Properties of LCM 3811 and 3818
(i) The LCM of 3818 and 3811 is associative
LCM of 3811 and 3818 = LCM of 3818 and 3811
Related Least Common Multiples of 3811
Related Least Common Multiples of 3818
Frequently Asked Questions on LCM of 3811 and 3818
1. What is the LCM of 3811 and 3818?
Answer: LCM of 3811 and 3818 is 14550398.
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 3818?
Answer: Factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818. There are 8 integers that are factors of 3818. The greatest factor of 3818 is 3818.
4. How to Find the LCM of 3811 and 3818?
Answer:
Least Common Multiple of 3811 and 3818 = 14550398
Step 1: Find the prime factorization of 3811
3811 = 37 x 103
Step 2: Find the prime factorization of 3818
3818 = 2 x 23 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14550398 = 2 x 23 x 37 x 83 x 103
Step 4: Therefore, the least common multiple of 3811 and 3818 is 14550398.