Least Common Multiple of 8801 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 8801 and 8802 the smallest integer that is 77466402 that is divisible by both numbers.
Least Common Multiple (LCM) of 8801 and 8802 is 77466402.
LCM(8801,8802) = 77466402
LCM of 8801 and 8802
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8801 and 8802 by Prime method
- Least Common Multiple of 8801 and 8802 with GCF Formula
LCM of 8801 and 8802 is 77466402
Least common multiple can be found by multiplying the highest exponent prime factors of 8801 and 8802. First we will calculate the prime factors of 8801 and 8802.
Prime Factorization of 8801
| 13 | 8801 |
| 677 | 677 |
| 1 |
Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:
8801 = 131×6771
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 8801 and 8802.
LCM(8801,8802) = 21×33×131×1631×6771
LCM(8801,8802) = 77466402
Factors of 8801
List of positive integer factors of 8801 that divides 8801 without a remainder.
1, 13, 677, 8801
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 8801 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 8801 and 8802, than apply into the LCM equation.
GCF(8801,8802) = 1
LCM(8801,8802) = ( 8801 × 8802) / 1
LCM(8801,8802) = 77466402 / 1
LCM(8801,8802) = 77466402
Properties of LCM 8801 and 8802
(i) The LCM of 8802 and 8801 is associative
LCM of 8801 and 8802 = LCM of 8802 and 8801
Related Least Common Multiples of 8801
Related Least Common Multiples of 8802
Frequently Asked Questions on LCM of 8801 and 8802
1. What is the LCM of 8801 and 8802?
Answer: LCM of 8801 and 8802 is 77466402.
2. What are the Factors of 8801?
Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.
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 8801 and 8802?
Answer:
Least Common Multiple of 8801 and 8802 = 77466402
Step 1: Find the prime factorization of 8801
8801 = 13 x 677
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 = 77466402 = 2 x 3 x 3 x 3 x 13 x 163 x 677
Step 4: Therefore, the least common multiple of 8801 and 8802 is 77466402.