Least Common Multiple of 1806 and 1813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1806 and 1813 the smallest integer that is 467754 that is divisible by both numbers.
Least Common Multiple (LCM) of 1806 and 1813 is 467754.
LCM(1806,1813) = 467754
LCM of 1806 and 1813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1806 and 1813 by Prime method
- Least Common Multiple of 1806 and 1813 with GCF Formula
LCM of 1806 and 1813 is 467754
Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1813. First we will calculate the prime factors of 1806 and 1813.
Prime Factorization of 1806
| 2 | 1806 |
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 1806 are 2, 3, 7,43. Prime factorization of 1806 in exponential form is:
1806 = 21×31×71×431
Prime Factorization of 1813
| 7 | 1813 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:
1813 = 72×371
Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1813.
LCM(1806,1813) = 21×31×72×371×431
LCM(1806,1813) = 467754
Factors of 1806
List of positive integer factors of 1806 that divides 1806 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
Factors of 1813
List of positive integer factors of 1813 that divides 1813 without a remainder.
1, 7, 37, 49, 259, 1813
Least Common Multiple of 1806 and 1813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1806 and 1813, than apply into the LCM equation.
GCF(1806,1813) = 7
LCM(1806,1813) = ( 1806 × 1813) / 7
LCM(1806,1813) = 3274278 / 7
LCM(1806,1813) = 467754
Properties of LCM 1806 and 1813
(i) The LCM of 1813 and 1806 is associative
LCM of 1806 and 1813 = LCM of 1813 and 1806
Related Least Common Multiples of 1806
Related Least Common Multiples of 1813
Frequently Asked Questions on LCM of 1806 and 1813
1. What is the LCM of 1806 and 1813?
Answer: LCM of 1806 and 1813 is 467754.
2. What are the Factors of 1806?
Answer: Factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806. There are 16 integers that are factors of 1806. The greatest factor of 1806 is 1806.
3. What are the Factors of 1813?
Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.
4. How to Find the LCM of 1806 and 1813?
Answer:
Least Common Multiple of 1806 and 1813 = 467754
Step 1: Find the prime factorization of 1806
1806 = 2 x 3 x 7 x 43
Step 2: Find the prime factorization of 1813
1813 = 7 x 7 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 467754 = 2 x 3 x 7 x 7 x 37 x 43
Step 4: Therefore, the least common multiple of 1806 and 1813 is 467754.
