Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7843 and 7844 the smallest integer that is 61520492 that is divisible by both numbers.
Least Common Multiple (LCM) of 7843 and 7844 is 61520492.
LCM(7843,7844) = 61520492
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7843 and 7844. First we will calculate the prime factors of 7843 and 7844.
Prime Factorization of 7843
11 | 7843 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 7843 are 11, 23,31. Prime factorization of 7843 in exponential form is:
7843 = 111×231×311
Prime Factorization of 7844
2 | 7844 |
2 | 3922 |
37 | 1961 |
53 | 53 |
1 |
Prime factors of 7844 are 2, 37,53. Prime factorization of 7844 in exponential form is:
7844 = 22×371×531
Now multiplying the highest exponent prime factors to calculate the LCM of 7843 and 7844.
LCM(7843,7844) = 22×111×231×311×371×531
LCM(7843,7844) = 61520492
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1, 11, 23, 31, 253, 341, 713, 7843
Factors of 7844
List of positive integer factors of 7844 that divides 7844 without a remainder.
1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7843 and 7844, than apply into the LCM equation.
GCF(7843,7844) = 1
LCM(7843,7844) = ( 7843 × 7844) / 1
LCM(7843,7844) = 61520492 / 1
LCM(7843,7844) = 61520492
(i) The LCM of 7844 and 7843 is associative
LCM of 7843 and 7844 = LCM of 7844 and 7843
1. What is the LCM of 7843 and 7844?
Answer: LCM of 7843 and 7844 is 61520492.
2. What are the Factors of 7843?
Answer: Factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843. There are 8 integers that are factors of 7843. The greatest factor of 7843 is 7843.
3. What are the Factors of 7844?
Answer: Factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844. There are 12 integers that are factors of 7844. The greatest factor of 7844 is 7844.
4. How to Find the LCM of 7843 and 7844?
Answer:
Least Common Multiple of 7843 and 7844 = 61520492
Step 1: Find the prime factorization of 7843
7843 = 11 x 23 x 31
Step 2: Find the prime factorization of 7844
7844 = 2 x 2 x 37 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61520492 = 2 x 2 x 11 x 23 x 31 x 37 x 53
Step 4: Therefore, the least common multiple of 7843 and 7844 is 61520492.