Least Common Multiple of 3819 and 3826
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3819 and 3826 the smallest integer that is 14611494 that is divisible by both numbers.
Least Common Multiple (LCM) of 3819 and 3826 is 14611494.
LCM(3819,3826) = 14611494
LCM of 3819 and 3826
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3819 and 3826 by Prime method
- Least Common Multiple of 3819 and 3826 with GCF Formula
LCM of 3819 and 3826 is 14611494
Least common multiple can be found by multiplying the highest exponent prime factors of 3819 and 3826. First we will calculate the prime factors of 3819 and 3826.
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
Prime Factorization of 3826
| 2 | 3826 |
| 1913 | 1913 |
| 1 |
Prime factors of 3826 are 2,1913. Prime factorization of 3826 in exponential form is:
3826 = 21×19131
Now multiplying the highest exponent prime factors to calculate the LCM of 3819 and 3826.
LCM(3819,3826) = 21×31×191×671×19131
LCM(3819,3826) = 14611494
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1, 3, 19, 57, 67, 201, 1273, 3819
Factors of 3826
List of positive integer factors of 3826 that divides 3826 without a remainder.
1, 2, 1913, 3826
Least Common Multiple of 3819 and 3826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3819 and 3826, than apply into the LCM equation.
GCF(3819,3826) = 1
LCM(3819,3826) = ( 3819 × 3826) / 1
LCM(3819,3826) = 14611494 / 1
LCM(3819,3826) = 14611494
Properties of LCM 3819 and 3826
(i) The LCM of 3826 and 3819 is associative
LCM of 3819 and 3826 = LCM of 3826 and 3819
Related Least Common Multiples of 3819
Related Least Common Multiples of 3826
Frequently Asked Questions on LCM of 3819 and 3826
1. What is the LCM of 3819 and 3826?
Answer: LCM of 3819 and 3826 is 14611494.
2. 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.
3. What are the Factors of 3826?
Answer: Factors of 3826 are 1, 2, 1913, 3826. There are 4 integers that are factors of 3826. The greatest factor of 3826 is 3826.
4. How to Find the LCM of 3819 and 3826?
Answer:
Least Common Multiple of 3819 and 3826 = 14611494
Step 1: Find the prime factorization of 3819
3819 = 3 x 19 x 67
Step 2: Find the prime factorization of 3826
3826 = 2 x 1913
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14611494 = 2 x 3 x 19 x 67 x 1913
Step 4: Therefore, the least common multiple of 3819 and 3826 is 14611494.