Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7838 and 7843 the smallest integer that is 61473434 that is divisible by both numbers.
Least Common Multiple (LCM) of 7838 and 7843 is 61473434.
LCM(7838,7843) = 61473434
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 7838 and 7843. First we will calculate the prime factors of 7838 and 7843.
Prime Factorization of 7838
2 | 7838 |
3919 | 3919 |
1 |
Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:
7838 = 21×39191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7838 and 7843.
LCM(7838,7843) = 21×111×231×311×39191
LCM(7838,7843) = 61473434
Factors of 7838
List of positive integer factors of 7838 that divides 7838 without a remainder.
1, 2, 3919, 7838
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1, 11, 23, 31, 253, 341, 713, 7843
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7838 and 7843, than apply into the LCM equation.
GCF(7838,7843) = 1
LCM(7838,7843) = ( 7838 × 7843) / 1
LCM(7838,7843) = 61473434 / 1
LCM(7838,7843) = 61473434
(i) The LCM of 7843 and 7838 is associative
LCM of 7838 and 7843 = LCM of 7843 and 7838
1. What is the LCM of 7838 and 7843?
Answer: LCM of 7838 and 7843 is 61473434.
2. What are the Factors of 7838?
Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.
3. 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.
4. How to Find the LCM of 7838 and 7843?
Answer:
Least Common Multiple of 7838 and 7843 = 61473434
Step 1: Find the prime factorization of 7838
7838 = 2 x 3919
Step 2: Find the prime factorization of 7843
7843 = 11 x 23 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61473434 = 2 x 11 x 23 x 31 x 3919
Step 4: Therefore, the least common multiple of 7838 and 7843 is 61473434.