Least Common Multiple of 3805 and 3810
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 3810 the smallest integer that is 2899410 that is divisible by both numbers.
Least Common Multiple (LCM) of 3805 and 3810 is 2899410.
LCM(3805,3810) = 2899410
LCM of 3805 and 3810
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3805 and 3810 by Prime method
- Least Common Multiple of 3805 and 3810 with GCF Formula
LCM of 3805 and 3810 is 2899410
Least common multiple can be found by multiplying the highest exponent prime factors of 3805 and 3810. First we will calculate the prime factors of 3805 and 3810.
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 3810
| 2 | 3810 |
| 3 | 1905 |
| 5 | 635 |
| 127 | 127 |
| 1 |
Prime factors of 3810 are 2, 3, 5,127. Prime factorization of 3810 in exponential form is:
3810 = 21×31×51×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 3805 and 3810.
LCM(3805,3810) = 21×31×51×1271×7611
LCM(3805,3810) = 2899410
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1, 5, 761, 3805
Factors of 3810
List of positive integer factors of 3810 that divides 3810 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
Least Common Multiple of 3805 and 3810 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 3810, than apply into the LCM equation.
GCF(3805,3810) = 5
LCM(3805,3810) = ( 3805 × 3810) / 5
LCM(3805,3810) = 14497050 / 5
LCM(3805,3810) = 2899410
Properties of LCM 3805 and 3810
(i) The LCM of 3810 and 3805 is associative
LCM of 3805 and 3810 = LCM of 3810 and 3805
Related Least Common Multiples of 3805
Related Least Common Multiples of 3810
Frequently Asked Questions on LCM of 3805 and 3810
1. What is the LCM of 3805 and 3810?
Answer: LCM of 3805 and 3810 is 2899410.
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 3810?
Answer: Factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810. There are 16 integers that are factors of 3810. The greatest factor of 3810 is 3810.
4. How to Find the LCM of 3805 and 3810?
Answer:
Least Common Multiple of 3805 and 3810 = 2899410
Step 1: Find the prime factorization of 3805
3805 = 5 x 761
Step 2: Find the prime factorization of 3810
3810 = 2 x 3 x 5 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2899410 = 2 x 3 x 5 x 127 x 761
Step 4: Therefore, the least common multiple of 3805 and 3810 is 2899410.