Least Common Multiple of 3805 and 3811
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 3811 the smallest integer that is 14500855 that is divisible by both numbers.
Least Common Multiple (LCM) of 3805 and 3811 is 14500855.
LCM(3805,3811) = 14500855
LCM of 3805 and 3811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3805 and 3811 by Prime method
- Least Common Multiple of 3805 and 3811 with GCF Formula
LCM of 3805 and 3811 is 14500855
Least common multiple can be found by multiplying the highest exponent prime factors of 3805 and 3811. First we will calculate the prime factors of 3805 and 3811.
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 3811
| 37 | 3811 |
| 103 | 103 |
| 1 |
Prime factors of 3811 are 37,103. Prime factorization of 3811 in exponential form is:
3811 = 371×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3805 and 3811.
LCM(3805,3811) = 51×371×1031×7611
LCM(3805,3811) = 14500855
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1, 5, 761, 3805
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Least Common Multiple of 3805 and 3811 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 3811, than apply into the LCM equation.
GCF(3805,3811) = 1
LCM(3805,3811) = ( 3805 × 3811) / 1
LCM(3805,3811) = 14500855 / 1
LCM(3805,3811) = 14500855
Properties of LCM 3805 and 3811
(i) The LCM of 3811 and 3805 is associative
LCM of 3805 and 3811 = LCM of 3811 and 3805
Related Least Common Multiples of 3805
Related Least Common Multiples of 3811
Frequently Asked Questions on LCM of 3805 and 3811
1. What is the LCM of 3805 and 3811?
Answer: LCM of 3805 and 3811 is 14500855.
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 3811?
Answer: Factors of 3811 are 1, 37, 103, 3811. There are 4 integers that are factors of 3811. The greatest factor of 3811 is 3811.
4. How to Find the LCM of 3805 and 3811?
Answer:
Least Common Multiple of 3805 and 3811 = 14500855
Step 1: Find the prime factorization of 3805
3805 = 5 x 761
Step 2: Find the prime factorization of 3811
3811 = 37 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14500855 = 5 x 37 x 103 x 761
Step 4: Therefore, the least common multiple of 3805 and 3811 is 14500855.