Least Common Multiple of 3803 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 3803 and 3810 the smallest integer that is 14489430 that is divisible by both numbers.
Least Common Multiple (LCM) of 3803 and 3810 is 14489430.
LCM(3803,3810) = 14489430
LCM of 3803 and 3810
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3803 and 3810 by Prime method
- Least Common Multiple of 3803 and 3810 with GCF Formula
LCM of 3803 and 3810 is 14489430
Least common multiple can be found by multiplying the highest exponent prime factors of 3803 and 3810. First we will calculate the prime factors of 3803 and 3810.
Prime Factorization of 3803
| 3803 | 3803 |
| 1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
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 3803 and 3810.
LCM(3803,3810) = 21×31×51×1271×38031
LCM(3803,3810) = 14489430
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1, 3803
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 3803 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 3803 and 3810, than apply into the LCM equation.
GCF(3803,3810) = 1
LCM(3803,3810) = ( 3803 × 3810) / 1
LCM(3803,3810) = 14489430 / 1
LCM(3803,3810) = 14489430
Properties of LCM 3803 and 3810
(i) The LCM of 3810 and 3803 is associative
LCM of 3803 and 3810 = LCM of 3810 and 3803
Related Least Common Multiples of 3803
Related Least Common Multiples of 3810
Frequently Asked Questions on LCM of 3803 and 3810
1. What is the LCM of 3803 and 3810?
Answer: LCM of 3803 and 3810 is 14489430.
2. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
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 3803 and 3810?
Answer:
Least Common Multiple of 3803 and 3810 = 14489430
Step 1: Find the prime factorization of 3803
3803 = 3803
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 = 14489430 = 2 x 3 x 5 x 127 x 3803
Step 4: Therefore, the least common multiple of 3803 and 3810 is 14489430.