Least Common Multiple of 3838 and 3843
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3838 and 3843 the smallest integer that is 14749434 that is divisible by both numbers.
Least Common Multiple (LCM) of 3838 and 3843 is 14749434.
LCM(3838,3843) = 14749434
LCM of 3838 and 3843
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3838 and 3843 by Prime method
- Least Common Multiple of 3838 and 3843 with GCF Formula
LCM of 3838 and 3843 is 14749434
Least common multiple can be found by multiplying the highest exponent prime factors of 3838 and 3843. First we will calculate the prime factors of 3838 and 3843.
Prime Factorization of 3838
| 2 | 3838 |
| 19 | 1919 |
| 101 | 101 |
| 1 |
Prime factors of 3838 are 2, 19,101. Prime factorization of 3838 in exponential form is:
3838 = 21×191×1011
Prime Factorization of 3843
| 3 | 3843 |
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 3843 are 3, 7,61. Prime factorization of 3843 in exponential form is:
3843 = 32×71×611
Now multiplying the highest exponent prime factors to calculate the LCM of 3838 and 3843.
LCM(3838,3843) = 21×32×71×191×611×1011
LCM(3838,3843) = 14749434
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1, 2, 19, 38, 101, 202, 1919, 3838
Factors of 3843
List of positive integer factors of 3843 that divides 3843 without a remainder.
1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843
Least Common Multiple of 3838 and 3843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3838 and 3843, than apply into the LCM equation.
GCF(3838,3843) = 1
LCM(3838,3843) = ( 3838 × 3843) / 1
LCM(3838,3843) = 14749434 / 1
LCM(3838,3843) = 14749434
Properties of LCM 3838 and 3843
(i) The LCM of 3843 and 3838 is associative
LCM of 3838 and 3843 = LCM of 3843 and 3838
Related Least Common Multiples of 3838
Related Least Common Multiples of 3843
Frequently Asked Questions on LCM of 3838 and 3843
1. What is the LCM of 3838 and 3843?
Answer: LCM of 3838 and 3843 is 14749434.
2. What are the Factors of 3838?
Answer: Factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838. There are 8 integers that are factors of 3838. The greatest factor of 3838 is 3838.
3. What are the Factors of 3843?
Answer: Factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843. There are 12 integers that are factors of 3843. The greatest factor of 3843 is 3843.
4. How to Find the LCM of 3838 and 3843?
Answer:
Least Common Multiple of 3838 and 3843 = 14749434
Step 1: Find the prime factorization of 3838
3838 = 2 x 19 x 101
Step 2: Find the prime factorization of 3843
3843 = 3 x 3 x 7 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14749434 = 2 x 3 x 3 x 7 x 19 x 61 x 101
Step 4: Therefore, the least common multiple of 3838 and 3843 is 14749434.