Least Common Multiple of 7791 and 7798
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7791 and 7798 the smallest integer that is 8679174 that is divisible by both numbers.
Least Common Multiple (LCM) of 7791 and 7798 is 8679174.
LCM(7791,7798) = 8679174
LCM of 7791 and 7798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7791 and 7798 by Prime method
- Least Common Multiple of 7791 and 7798 with GCF Formula
LCM of 7791 and 7798 is 8679174
Least common multiple can be found by multiplying the highest exponent prime factors of 7791 and 7798. First we will calculate the prime factors of 7791 and 7798.
Prime Factorization of 7791
| 3 | 7791 |
| 7 | 2597 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 7791 are 3, 7,53. Prime factorization of 7791 in exponential form is:
7791 = 31×72×531
Prime Factorization of 7798
| 2 | 7798 |
| 7 | 3899 |
| 557 | 557 |
| 1 |
Prime factors of 7798 are 2, 7,557. Prime factorization of 7798 in exponential form is:
7798 = 21×71×5571
Now multiplying the highest exponent prime factors to calculate the LCM of 7791 and 7798.
LCM(7791,7798) = 21×31×72×531×5571
LCM(7791,7798) = 8679174
Factors of 7791
List of positive integer factors of 7791 that divides 7791 without a remainder.
1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
Factors of 7798
List of positive integer factors of 7798 that divides 7798 without a remainder.
1, 2, 7, 14, 557, 1114, 3899, 7798
Least Common Multiple of 7791 and 7798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7791 and 7798, than apply into the LCM equation.
GCF(7791,7798) = 7
LCM(7791,7798) = ( 7791 × 7798) / 7
LCM(7791,7798) = 60754218 / 7
LCM(7791,7798) = 8679174
Properties of LCM 7791 and 7798
(i) The LCM of 7798 and 7791 is associative
LCM of 7791 and 7798 = LCM of 7798 and 7791
Related Least Common Multiples of 7791
Related Least Common Multiples of 7798
Frequently Asked Questions on LCM of 7791 and 7798
1. What is the LCM of 7791 and 7798?
Answer: LCM of 7791 and 7798 is 8679174.
2. What are the Factors of 7791?
Answer: Factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791. There are 12 integers that are factors of 7791. The greatest factor of 7791 is 7791.
3. What are the Factors of 7798?
Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.
4. How to Find the LCM of 7791 and 7798?
Answer:
Least Common Multiple of 7791 and 7798 = 8679174
Step 1: Find the prime factorization of 7791
7791 = 3 x 7 x 7 x 53
Step 2: Find the prime factorization of 7798
7798 = 2 x 7 x 557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8679174 = 2 x 3 x 7 x 7 x 53 x 557
Step 4: Therefore, the least common multiple of 7791 and 7798 is 8679174.