Least Common Multiple of 1839 and 1843
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1839 and 1843 the smallest integer that is 3389277 that is divisible by both numbers.
Least Common Multiple (LCM) of 1839 and 1843 is 3389277.
LCM(1839,1843) = 3389277
LCM of 1839 and 1843
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1839 and 1843 by Prime method
- Least Common Multiple of 1839 and 1843 with GCF Formula
LCM of 1839 and 1843 is 3389277
Least common multiple can be found by multiplying the highest exponent prime factors of 1839 and 1843. First we will calculate the prime factors of 1839 and 1843.
Prime Factorization of 1839
| 3 | 1839 |
| 613 | 613 |
| 1 |
Prime factors of 1839 are 3,613. Prime factorization of 1839 in exponential form is:
1839 = 31×6131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1839 and 1843.
LCM(1839,1843) = 31×191×971×6131
LCM(1839,1843) = 3389277
Factors of 1839
List of positive integer factors of 1839 that divides 1839 without a remainder.
1, 3, 613, 1839
Factors of 1843
List of positive integer factors of 1843 that divides 1843 without a remainder.
1, 19, 97, 1843
Least Common Multiple of 1839 and 1843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1839 and 1843, than apply into the LCM equation.
GCF(1839,1843) = 1
LCM(1839,1843) = ( 1839 × 1843) / 1
LCM(1839,1843) = 3389277 / 1
LCM(1839,1843) = 3389277
Properties of LCM 1839 and 1843
(i) The LCM of 1843 and 1839 is associative
LCM of 1839 and 1843 = LCM of 1843 and 1839
Related Least Common Multiples of 1839
Related Least Common Multiples of 1843
Frequently Asked Questions on LCM of 1839 and 1843
1. What is the LCM of 1839 and 1843?
Answer: LCM of 1839 and 1843 is 3389277.
2. What are the Factors of 1839?
Answer: Factors of 1839 are 1, 3, 613, 1839. There are 4 integers that are factors of 1839. The greatest factor of 1839 is 1839.
3. 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.
4. How to Find the LCM of 1839 and 1843?
Answer:
Least Common Multiple of 1839 and 1843 = 3389277
Step 1: Find the prime factorization of 1839
1839 = 3 x 613
Step 2: Find the prime factorization of 1843
1843 = 19 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3389277 = 3 x 19 x 97 x 613
Step 4: Therefore, the least common multiple of 1839 and 1843 is 3389277.