Least Common Multiple of 1809 and 1817
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1809 and 1817 the smallest integer that is 3286953 that is divisible by both numbers.
Least Common Multiple (LCM) of 1809 and 1817 is 3286953.
LCM(1809,1817) = 3286953
LCM of 1809 and 1817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1809 and 1817 by Prime method
- Least Common Multiple of 1809 and 1817 with GCF Formula
LCM of 1809 and 1817 is 3286953
Least common multiple can be found by multiplying the highest exponent prime factors of 1809 and 1817. First we will calculate the prime factors of 1809 and 1817.
Prime Factorization of 1809
| 3 | 1809 |
| 3 | 603 |
| 3 | 201 |
| 67 | 67 |
| 1 |
Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:
1809 = 33×671
Prime Factorization of 1817
| 23 | 1817 |
| 79 | 79 |
| 1 |
Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:
1817 = 231×791
Now multiplying the highest exponent prime factors to calculate the LCM of 1809 and 1817.
LCM(1809,1817) = 33×231×671×791
LCM(1809,1817) = 3286953
Factors of 1809
List of positive integer factors of 1809 that divides 1809 without a remainder.
1, 3, 9, 27, 67, 201, 603, 1809
Factors of 1817
List of positive integer factors of 1817 that divides 1817 without a remainder.
1, 23, 79, 1817
Least Common Multiple of 1809 and 1817 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1809 and 1817, than apply into the LCM equation.
GCF(1809,1817) = 1
LCM(1809,1817) = ( 1809 × 1817) / 1
LCM(1809,1817) = 3286953 / 1
LCM(1809,1817) = 3286953
Properties of LCM 1809 and 1817
(i) The LCM of 1817 and 1809 is associative
LCM of 1809 and 1817 = LCM of 1817 and 1809
Related Least Common Multiples of 1809
Related Least Common Multiples of 1817
Frequently Asked Questions on LCM of 1809 and 1817
1. What is the LCM of 1809 and 1817?
Answer: LCM of 1809 and 1817 is 3286953.
2. What are the Factors of 1809?
Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.
3. What are the Factors of 1817?
Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.
4. How to Find the LCM of 1809 and 1817?
Answer:
Least Common Multiple of 1809 and 1817 = 3286953
Step 1: Find the prime factorization of 1809
1809 = 3 x 3 x 3 x 67
Step 2: Find the prime factorization of 1817
1817 = 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3286953 = 3 x 3 x 3 x 23 x 67 x 79
Step 4: Therefore, the least common multiple of 1809 and 1817 is 3286953.
