Least Common Multiple of 3805 and 3809
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3805 and 3809 the smallest integer that is 14493245 that is divisible by both numbers.
Least Common Multiple (LCM) of 3805 and 3809 is 14493245.
LCM(3805,3809) = 14493245
LCM of 3805 and 3809
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3805 and 3809 by Prime method
- Least Common Multiple of 3805 and 3809 with GCF Formula
LCM of 3805 and 3809 is 14493245
Least common multiple can be found by multiplying the highest exponent prime factors of 3805 and 3809. First we will calculate the prime factors of 3805 and 3809.
Prime Factorization of 3805
| 5 | 3805 |
| 761 | 761 |
| 1 |
Prime factors of 3805 are 5,761. Prime factorization of 3805 in exponential form is:
3805 = 51×7611
Prime Factorization of 3809
| 13 | 3809 |
| 293 | 293 |
| 1 |
Prime factors of 3809 are 13,293. Prime factorization of 3809 in exponential form is:
3809 = 131×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 3805 and 3809.
LCM(3805,3809) = 51×131×2931×7611
LCM(3805,3809) = 14493245
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1, 5, 761, 3805
Factors of 3809
List of positive integer factors of 3809 that divides 3809 without a remainder.
1, 13, 293, 3809
Least Common Multiple of 3805 and 3809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3805 and 3809, than apply into the LCM equation.
GCF(3805,3809) = 1
LCM(3805,3809) = ( 3805 × 3809) / 1
LCM(3805,3809) = 14493245 / 1
LCM(3805,3809) = 14493245
Properties of LCM 3805 and 3809
(i) The LCM of 3809 and 3805 is associative
LCM of 3805 and 3809 = LCM of 3809 and 3805
Related Least Common Multiples of 3805
Related Least Common Multiples of 3809
Frequently Asked Questions on LCM of 3805 and 3809
1. What is the LCM of 3805 and 3809?
Answer: LCM of 3805 and 3809 is 14493245.
2. What are the Factors of 3805?
Answer: Factors of 3805 are 1, 5, 761, 3805. There are 4 integers that are factors of 3805. The greatest factor of 3805 is 3805.
3. What are the Factors of 3809?
Answer: Factors of 3809 are 1, 13, 293, 3809. There are 4 integers that are factors of 3809. The greatest factor of 3809 is 3809.
4. How to Find the LCM of 3805 and 3809?
Answer:
Least Common Multiple of 3805 and 3809 = 14493245
Step 1: Find the prime factorization of 3805
3805 = 5 x 761
Step 2: Find the prime factorization of 3809
3809 = 13 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14493245 = 5 x 13 x 293 x 761
Step 4: Therefore, the least common multiple of 3805 and 3809 is 14493245.