Least Common Multiple of 1804 and 1805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1804 and 1805 the smallest integer that is 3256220 that is divisible by both numbers.
Least Common Multiple (LCM) of 1804 and 1805 is 3256220.
LCM(1804,1805) = 3256220
LCM of 1804 and 1805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1804 and 1805 by Prime method
- Least Common Multiple of 1804 and 1805 with GCF Formula
LCM of 1804 and 1805 is 3256220
Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1805. First we will calculate the prime factors of 1804 and 1805.
Prime Factorization of 1804
| 2 | 1804 |
| 2 | 902 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:
1804 = 22×111×411
Prime Factorization of 1805
| 5 | 1805 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:
1805 = 51×192
Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1805.
LCM(1804,1805) = 22×51×111×192×411
LCM(1804,1805) = 3256220
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
Factors of 1805
List of positive integer factors of 1805 that divides 1805 without a remainder.
1, 5, 19, 95, 361, 1805
Least Common Multiple of 1804 and 1805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1804 and 1805, than apply into the LCM equation.
GCF(1804,1805) = 1
LCM(1804,1805) = ( 1804 × 1805) / 1
LCM(1804,1805) = 3256220 / 1
LCM(1804,1805) = 3256220
Properties of LCM 1804 and 1805
(i) The LCM of 1805 and 1804 is associative
LCM of 1804 and 1805 = LCM of 1805 and 1804
Related Least Common Multiples of 1804
Related Least Common Multiples of 1805
Frequently Asked Questions on LCM of 1804 and 1805
1. What is the LCM of 1804 and 1805?
Answer: LCM of 1804 and 1805 is 3256220.
2. What are the Factors of 1804?
Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.
3. What are the Factors of 1805?
Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.
4. How to Find the LCM of 1804 and 1805?
Answer:
Least Common Multiple of 1804 and 1805 = 3256220
Step 1: Find the prime factorization of 1804
1804 = 2 x 2 x 11 x 41
Step 2: Find the prime factorization of 1805
1805 = 5 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3256220 = 2 x 2 x 5 x 11 x 19 x 19 x 41
Step 4: Therefore, the least common multiple of 1804 and 1805 is 3256220.
