Least Common Multiple of 7839 and 7847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7839 and 7847 the smallest integer that is 61512633 that is divisible by both numbers.
Least Common Multiple (LCM) of 7839 and 7847 is 61512633.
LCM(7839,7847) = 61512633
LCM of 7839 and 7847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7839 and 7847 by Prime method
- Least Common Multiple of 7839 and 7847 with GCF Formula
LCM of 7839 and 7847 is 61512633
Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7847. First we will calculate the prime factors of 7839 and 7847.
Prime Factorization of 7839
| 3 | 7839 |
| 3 | 2613 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 7839 are 3, 13,67. Prime factorization of 7839 in exponential form is:
7839 = 32×131×671
Prime Factorization of 7847
| 7 | 7847 |
| 19 | 1121 |
| 59 | 59 |
| 1 |
Prime factors of 7847 are 7, 19,59. Prime factorization of 7847 in exponential form is:
7847 = 71×191×591
Now multiplying the highest exponent prime factors to calculate the LCM of 7839 and 7847.
LCM(7839,7847) = 32×71×131×191×591×671
LCM(7839,7847) = 61512633
Factors of 7839
List of positive integer factors of 7839 that divides 7839 without a remainder.
1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839
Factors of 7847
List of positive integer factors of 7847 that divides 7847 without a remainder.
1, 7, 19, 59, 133, 413, 1121, 7847
Least Common Multiple of 7839 and 7847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7839 and 7847, than apply into the LCM equation.
GCF(7839,7847) = 1
LCM(7839,7847) = ( 7839 × 7847) / 1
LCM(7839,7847) = 61512633 / 1
LCM(7839,7847) = 61512633
Properties of LCM 7839 and 7847
(i) The LCM of 7847 and 7839 is associative
LCM of 7839 and 7847 = LCM of 7847 and 7839
Related Least Common Multiples of 7839
Related Least Common Multiples of 7847
Frequently Asked Questions on LCM of 7839 and 7847
1. What is the LCM of 7839 and 7847?
Answer: LCM of 7839 and 7847 is 61512633.
2. What are the Factors of 7839?
Answer: Factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839. There are 12 integers that are factors of 7839. The greatest factor of 7839 is 7839.
3. What are the Factors of 7847?
Answer: Factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847. There are 8 integers that are factors of 7847. The greatest factor of 7847 is 7847.
4. How to Find the LCM of 7839 and 7847?
Answer:
Least Common Multiple of 7839 and 7847 = 61512633
Step 1: Find the prime factorization of 7839
7839 = 3 x 3 x 13 x 67
Step 2: Find the prime factorization of 7847
7847 = 7 x 19 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61512633 = 3 x 3 x 7 x 13 x 19 x 59 x 67
Step 4: Therefore, the least common multiple of 7839 and 7847 is 61512633.