Least Common Multiple of 3799 and 3806
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3799 and 3806 the smallest integer that is 14458994 that is divisible by both numbers.
Least Common Multiple (LCM) of 3799 and 3806 is 14458994.
LCM(3799,3806) = 14458994
LCM of 3799 and 3806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3799 and 3806 by Prime method
- Least Common Multiple of 3799 and 3806 with GCF Formula
LCM of 3799 and 3806 is 14458994
Least common multiple can be found by multiplying the highest exponent prime factors of 3799 and 3806. First we will calculate the prime factors of 3799 and 3806.
Prime Factorization of 3799
| 29 | 3799 |
| 131 | 131 |
| 1 |
Prime factors of 3799 are 29,131. Prime factorization of 3799 in exponential form is:
3799 = 291×1311
Prime Factorization of 3806
| 2 | 3806 |
| 11 | 1903 |
| 173 | 173 |
| 1 |
Prime factors of 3806 are 2, 11,173. Prime factorization of 3806 in exponential form is:
3806 = 21×111×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 3799 and 3806.
LCM(3799,3806) = 21×111×291×1311×1731
LCM(3799,3806) = 14458994
Factors of 3799
List of positive integer factors of 3799 that divides 3799 without a remainder.
1, 29, 131, 3799
Factors of 3806
List of positive integer factors of 3806 that divides 3806 without a remainder.
1, 2, 11, 22, 173, 346, 1903, 3806
Least Common Multiple of 3799 and 3806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3799 and 3806, than apply into the LCM equation.
GCF(3799,3806) = 1
LCM(3799,3806) = ( 3799 × 3806) / 1
LCM(3799,3806) = 14458994 / 1
LCM(3799,3806) = 14458994
Properties of LCM 3799 and 3806
(i) The LCM of 3806 and 3799 is associative
LCM of 3799 and 3806 = LCM of 3806 and 3799
Related Least Common Multiples of 3799
Related Least Common Multiples of 3806
Frequently Asked Questions on LCM of 3799 and 3806
1. What is the LCM of 3799 and 3806?
Answer: LCM of 3799 and 3806 is 14458994.
2. What are the Factors of 3799?
Answer: Factors of 3799 are 1, 29, 131, 3799. There are 4 integers that are factors of 3799. The greatest factor of 3799 is 3799.
3. What are the Factors of 3806?
Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.
4. How to Find the LCM of 3799 and 3806?
Answer:
Least Common Multiple of 3799 and 3806 = 14458994
Step 1: Find the prime factorization of 3799
3799 = 29 x 131
Step 2: Find the prime factorization of 3806
3806 = 2 x 11 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14458994 = 2 x 11 x 29 x 131 x 173
Step 4: Therefore, the least common multiple of 3799 and 3806 is 14458994.