Least Common Multiple of 8847 and 8855
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8847 and 8855 the smallest integer that is 78340185 that is divisible by both numbers.
Least Common Multiple (LCM) of 8847 and 8855 is 78340185.
LCM(8847,8855) = 78340185
LCM of 8847 and 8855
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8847 and 8855 by Prime method
- Least Common Multiple of 8847 and 8855 with GCF Formula
LCM of 8847 and 8855 is 78340185
Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8855. First we will calculate the prime factors of 8847 and 8855.
Prime Factorization of 8847
| 3 | 8847 |
| 3 | 2949 |
| 983 | 983 |
| 1 |
Prime factors of 8847 are 3,983. Prime factorization of 8847 in exponential form is:
8847 = 32×9831
Prime Factorization of 8855
| 5 | 8855 |
| 7 | 1771 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 8855 are 5, 7, 11,23. Prime factorization of 8855 in exponential form is:
8855 = 51×71×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8855.
LCM(8847,8855) = 32×51×71×111×231×9831
LCM(8847,8855) = 78340185
Factors of 8847
List of positive integer factors of 8847 that divides 8847 without a remainder.
1, 3, 9, 983, 2949, 8847
Factors of 8855
List of positive integer factors of 8855 that divides 8855 without a remainder.
1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855
Least Common Multiple of 8847 and 8855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8847 and 8855, than apply into the LCM equation.
GCF(8847,8855) = 1
LCM(8847,8855) = ( 8847 × 8855) / 1
LCM(8847,8855) = 78340185 / 1
LCM(8847,8855) = 78340185
Properties of LCM 8847 and 8855
(i) The LCM of 8855 and 8847 is associative
LCM of 8847 and 8855 = LCM of 8855 and 8847
Related Least Common Multiples of 8847
Related Least Common Multiples of 8855
Frequently Asked Questions on LCM of 8847 and 8855
1. What is the LCM of 8847 and 8855?
Answer: LCM of 8847 and 8855 is 78340185.
2. What are the Factors of 8847?
Answer: Factors of 8847 are 1, 3, 9, 983, 2949, 8847. There are 6 integers that are factors of 8847. The greatest factor of 8847 is 8847.
3. What are the Factors of 8855?
Answer: Factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855. There are 16 integers that are factors of 8855. The greatest factor of 8855 is 8855.
4. How to Find the LCM of 8847 and 8855?
Answer:
Least Common Multiple of 8847 and 8855 = 78340185
Step 1: Find the prime factorization of 8847
8847 = 3 x 3 x 983
Step 2: Find the prime factorization of 8855
8855 = 5 x 7 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78340185 = 3 x 3 x 5 x 7 x 11 x 23 x 983
Step 4: Therefore, the least common multiple of 8847 and 8855 is 78340185.