Least Common Multiple of 8790 and 8797
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8790 and 8797 the smallest integer that is 77325630 that is divisible by both numbers.
Least Common Multiple (LCM) of 8790 and 8797 is 77325630.
LCM(8790,8797) = 77325630
LCM of 8790 and 8797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8790 and 8797 by Prime method
- Least Common Multiple of 8790 and 8797 with GCF Formula
LCM of 8790 and 8797 is 77325630
Least common multiple can be found by multiplying the highest exponent prime factors of 8790 and 8797. First we will calculate the prime factors of 8790 and 8797.
Prime Factorization of 8790
| 2 | 8790 |
| 3 | 4395 |
| 5 | 1465 |
| 293 | 293 |
| 1 |
Prime factors of 8790 are 2, 3, 5,293. Prime factorization of 8790 in exponential form is:
8790 = 21×31×51×2931
Prime Factorization of 8797
| 19 | 8797 |
| 463 | 463 |
| 1 |
Prime factors of 8797 are 19,463. Prime factorization of 8797 in exponential form is:
8797 = 191×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 8790 and 8797.
LCM(8790,8797) = 21×31×51×191×2931×4631
LCM(8790,8797) = 77325630
Factors of 8790
List of positive integer factors of 8790 that divides 8790 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790
Factors of 8797
List of positive integer factors of 8797 that divides 8797 without a remainder.
1, 19, 463, 8797
Least Common Multiple of 8790 and 8797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8790 and 8797, than apply into the LCM equation.
GCF(8790,8797) = 1
LCM(8790,8797) = ( 8790 × 8797) / 1
LCM(8790,8797) = 77325630 / 1
LCM(8790,8797) = 77325630
Properties of LCM 8790 and 8797
(i) The LCM of 8797 and 8790 is associative
LCM of 8790 and 8797 = LCM of 8797 and 8790
Related Least Common Multiples of 8790
Related Least Common Multiples of 8797
Frequently Asked Questions on LCM of 8790 and 8797
1. What is the LCM of 8790 and 8797?
Answer: LCM of 8790 and 8797 is 77325630.
2. What are the Factors of 8790?
Answer: Factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790. There are 16 integers that are factors of 8790. The greatest factor of 8790 is 8790.
3. What are the Factors of 8797?
Answer: Factors of 8797 are 1, 19, 463, 8797. There are 4 integers that are factors of 8797. The greatest factor of 8797 is 8797.
4. How to Find the LCM of 8790 and 8797?
Answer:
Least Common Multiple of 8790 and 8797 = 77325630
Step 1: Find the prime factorization of 8790
8790 = 2 x 3 x 5 x 293
Step 2: Find the prime factorization of 8797
8797 = 19 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77325630 = 2 x 3 x 5 x 19 x 293 x 463
Step 4: Therefore, the least common multiple of 8790 and 8797 is 77325630.