Least Common Multiple of 8797 and 8802
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8797 and 8802 the smallest integer that is 77431194 that is divisible by both numbers.
Least Common Multiple (LCM) of 8797 and 8802 is 77431194.
LCM(8797,8802) = 77431194
LCM of 8797 and 8802
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8797 and 8802 by Prime method
- Least Common Multiple of 8797 and 8802 with GCF Formula
LCM of 8797 and 8802 is 77431194
Least common multiple can be found by multiplying the highest exponent prime factors of 8797 and 8802. First we will calculate the prime factors of 8797 and 8802.
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
Prime Factorization of 8802
| 2 | 8802 |
| 3 | 4401 |
| 3 | 1467 |
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 8802 are 2, 3,163. Prime factorization of 8802 in exponential form is:
8802 = 21×33×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 8797 and 8802.
LCM(8797,8802) = 21×33×191×1631×4631
LCM(8797,8802) = 77431194
Factors of 8797
List of positive integer factors of 8797 that divides 8797 without a remainder.
1, 19, 463, 8797
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802
Least Common Multiple of 8797 and 8802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8797 and 8802, than apply into the LCM equation.
GCF(8797,8802) = 1
LCM(8797,8802) = ( 8797 × 8802) / 1
LCM(8797,8802) = 77431194 / 1
LCM(8797,8802) = 77431194
Properties of LCM 8797 and 8802
(i) The LCM of 8802 and 8797 is associative
LCM of 8797 and 8802 = LCM of 8802 and 8797
Related Least Common Multiples of 8797
Related Least Common Multiples of 8802
Frequently Asked Questions on LCM of 8797 and 8802
1. What is the LCM of 8797 and 8802?
Answer: LCM of 8797 and 8802 is 77431194.
2. 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.
3. What are the Factors of 8802?
Answer: Factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802. There are 16 integers that are factors of 8802. The greatest factor of 8802 is 8802.
4. How to Find the LCM of 8797 and 8802?
Answer:
Least Common Multiple of 8797 and 8802 = 77431194
Step 1: Find the prime factorization of 8797
8797 = 19 x 463
Step 2: Find the prime factorization of 8802
8802 = 2 x 3 x 3 x 3 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77431194 = 2 x 3 x 3 x 3 x 19 x 163 x 463
Step 4: Therefore, the least common multiple of 8797 and 8802 is 77431194.