Least Common Multiple of 3858 and 3859
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3858 and 3859 the smallest integer that is 14888022 that is divisible by both numbers.
Least Common Multiple (LCM) of 3858 and 3859 is 14888022.
LCM(3858,3859) = 14888022
LCM of 3858 and 3859
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3858 and 3859 by Prime method
- Least Common Multiple of 3858 and 3859 with GCF Formula
LCM of 3858 and 3859 is 14888022
Least common multiple can be found by multiplying the highest exponent prime factors of 3858 and 3859. First we will calculate the prime factors of 3858 and 3859.
Prime Factorization of 3858
| 2 | 3858 |
| 3 | 1929 |
| 643 | 643 |
| 1 |
Prime factors of 3858 are 2, 3,643. Prime factorization of 3858 in exponential form is:
3858 = 21×31×6431
Prime Factorization of 3859
| 17 | 3859 |
| 227 | 227 |
| 1 |
Prime factors of 3859 are 17,227. Prime factorization of 3859 in exponential form is:
3859 = 171×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 3858 and 3859.
LCM(3858,3859) = 21×31×171×2271×6431
LCM(3858,3859) = 14888022
Factors of 3858
List of positive integer factors of 3858 that divides 3858 without a remainder.
1, 2, 3, 6, 643, 1286, 1929, 3858
Factors of 3859
List of positive integer factors of 3859 that divides 3859 without a remainder.
1, 17, 227, 3859
Least Common Multiple of 3858 and 3859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3858 and 3859, than apply into the LCM equation.
GCF(3858,3859) = 1
LCM(3858,3859) = ( 3858 × 3859) / 1
LCM(3858,3859) = 14888022 / 1
LCM(3858,3859) = 14888022
Properties of LCM 3858 and 3859
(i) The LCM of 3859 and 3858 is associative
LCM of 3858 and 3859 = LCM of 3859 and 3858
Related Least Common Multiples of 3858
Related Least Common Multiples of 3859
Frequently Asked Questions on LCM of 3858 and 3859
1. What is the LCM of 3858 and 3859?
Answer: LCM of 3858 and 3859 is 14888022.
2. What are the Factors of 3858?
Answer: Factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858. There are 8 integers that are factors of 3858. The greatest factor of 3858 is 3858.
3. What are the Factors of 3859?
Answer: Factors of 3859 are 1, 17, 227, 3859. There are 4 integers that are factors of 3859. The greatest factor of 3859 is 3859.
4. How to Find the LCM of 3858 and 3859?
Answer:
Least Common Multiple of 3858 and 3859 = 14888022
Step 1: Find the prime factorization of 3858
3858 = 2 x 3 x 643
Step 2: Find the prime factorization of 3859
3859 = 17 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14888022 = 2 x 3 x 17 x 227 x 643
Step 4: Therefore, the least common multiple of 3858 and 3859 is 14888022.