Least Common Multiple of 1843 and 1849
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1843 and 1849 the smallest integer that is 3407707 that is divisible by both numbers.
Least Common Multiple (LCM) of 1843 and 1849 is 3407707.
LCM(1843,1849) = 3407707
LCM of 1843 and 1849
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1843 and 1849 by Prime method
- Least Common Multiple of 1843 and 1849 with GCF Formula
LCM of 1843 and 1849 is 3407707
Least common multiple can be found by multiplying the highest exponent prime factors of 1843 and 1849. First we will calculate the prime factors of 1843 and 1849.
Prime Factorization of 1843
| 19 | 1843 |
| 97 | 97 |
| 1 |
Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:
1843 = 191×971
Prime Factorization of 1849
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:
1849 = 432
Now multiplying the highest exponent prime factors to calculate the LCM of 1843 and 1849.
LCM(1843,1849) = 191×432×971
LCM(1843,1849) = 3407707
Factors of 1843
List of positive integer factors of 1843 that divides 1843 without a remainder.
1, 19, 97, 1843
Factors of 1849
List of positive integer factors of 1849 that divides 1849 without a remainder.
1, 43, 1849
Least Common Multiple of 1843 and 1849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1843 and 1849, than apply into the LCM equation.
GCF(1843,1849) = 1
LCM(1843,1849) = ( 1843 × 1849) / 1
LCM(1843,1849) = 3407707 / 1
LCM(1843,1849) = 3407707
Properties of LCM 1843 and 1849
(i) The LCM of 1849 and 1843 is associative
LCM of 1843 and 1849 = LCM of 1849 and 1843
Related Least Common Multiples of 1843
Related Least Common Multiples of 1849
Frequently Asked Questions on LCM of 1843 and 1849
1. What is the LCM of 1843 and 1849?
Answer: LCM of 1843 and 1849 is 3407707.
2. What are the Factors of 1843?
Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.
3. What are the Factors of 1849?
Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.
4. How to Find the LCM of 1843 and 1849?
Answer:
Least Common Multiple of 1843 and 1849 = 3407707
Step 1: Find the prime factorization of 1843
1843 = 19 x 97
Step 2: Find the prime factorization of 1849
1849 = 43 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3407707 = 19 x 43 x 43 x 97
Step 4: Therefore, the least common multiple of 1843 and 1849 is 3407707.