Least Common Multiple of 7790 and 7797
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7790 and 7797 the smallest integer that is 60738630 that is divisible by both numbers.
Least Common Multiple (LCM) of 7790 and 7797 is 60738630.
LCM(7790,7797) = 60738630
LCM of 7790 and 7797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7790 and 7797 by Prime method
- Least Common Multiple of 7790 and 7797 with GCF Formula
LCM of 7790 and 7797 is 60738630
Least common multiple can be found by multiplying the highest exponent prime factors of 7790 and 7797. First we will calculate the prime factors of 7790 and 7797.
Prime Factorization of 7790
| 2 | 7790 |
| 5 | 3895 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 7790 are 2, 5, 19,41. Prime factorization of 7790 in exponential form is:
7790 = 21×51×191×411
Prime Factorization of 7797
| 3 | 7797 |
| 23 | 2599 |
| 113 | 113 |
| 1 |
Prime factors of 7797 are 3, 23,113. Prime factorization of 7797 in exponential form is:
7797 = 31×231×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 7790 and 7797.
LCM(7790,7797) = 21×31×51×191×231×411×1131
LCM(7790,7797) = 60738630
Factors of 7790
List of positive integer factors of 7790 that divides 7790 without a remainder.
1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1, 3, 23, 69, 113, 339, 2599, 7797
Least Common Multiple of 7790 and 7797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7790 and 7797, than apply into the LCM equation.
GCF(7790,7797) = 1
LCM(7790,7797) = ( 7790 × 7797) / 1
LCM(7790,7797) = 60738630 / 1
LCM(7790,7797) = 60738630
Properties of LCM 7790 and 7797
(i) The LCM of 7797 and 7790 is associative
LCM of 7790 and 7797 = LCM of 7797 and 7790
Related Least Common Multiples of 7790
Related Least Common Multiples of 7797
Frequently Asked Questions on LCM of 7790 and 7797
1. What is the LCM of 7790 and 7797?
Answer: LCM of 7790 and 7797 is 60738630.
2. What are the Factors of 7790?
Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.
3. What are the Factors of 7797?
Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.
4. How to Find the LCM of 7790 and 7797?
Answer:
Least Common Multiple of 7790 and 7797 = 60738630
Step 1: Find the prime factorization of 7790
7790 = 2 x 5 x 19 x 41
Step 2: Find the prime factorization of 7797
7797 = 3 x 23 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60738630 = 2 x 3 x 5 x 19 x 23 x 41 x 113
Step 4: Therefore, the least common multiple of 7790 and 7797 is 60738630.