Least Common Multiple of 8843 and 8847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8843 and 8847 the smallest integer that is 78234021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8843 and 8847 is 78234021.
LCM(8843,8847) = 78234021
LCM of 8843 and 8847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8843 and 8847 by Prime method
- Least Common Multiple of 8843 and 8847 with GCF Formula
LCM of 8843 and 8847 is 78234021
Least common multiple can be found by multiplying the highest exponent prime factors of 8843 and 8847. First we will calculate the prime factors of 8843 and 8847.
Prime Factorization of 8843
| 37 | 8843 |
| 239 | 239 |
| 1 |
Prime factors of 8843 are 37,239. Prime factorization of 8843 in exponential form is:
8843 = 371×2391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8843 and 8847.
LCM(8843,8847) = 32×371×2391×9831
LCM(8843,8847) = 78234021
Factors of 8843
List of positive integer factors of 8843 that divides 8843 without a remainder.
1, 37, 239, 8843
Factors of 8847
List of positive integer factors of 8847 that divides 8847 without a remainder.
1, 3, 9, 983, 2949, 8847
Least Common Multiple of 8843 and 8847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8843 and 8847, than apply into the LCM equation.
GCF(8843,8847) = 1
LCM(8843,8847) = ( 8843 × 8847) / 1
LCM(8843,8847) = 78234021 / 1
LCM(8843,8847) = 78234021
Properties of LCM 8843 and 8847
(i) The LCM of 8847 and 8843 is associative
LCM of 8843 and 8847 = LCM of 8847 and 8843
Related Least Common Multiples of 8843
Related Least Common Multiples of 8847
Frequently Asked Questions on LCM of 8843 and 8847
1. What is the LCM of 8843 and 8847?
Answer: LCM of 8843 and 8847 is 78234021.
2. What are the Factors of 8843?
Answer: Factors of 8843 are 1, 37, 239, 8843. There are 4 integers that are factors of 8843. The greatest factor of 8843 is 8843.
3. 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.
4. How to Find the LCM of 8843 and 8847?
Answer:
Least Common Multiple of 8843 and 8847 = 78234021
Step 1: Find the prime factorization of 8843
8843 = 37 x 239
Step 2: Find the prime factorization of 8847
8847 = 3 x 3 x 983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78234021 = 3 x 3 x 37 x 239 x 983
Step 4: Therefore, the least common multiple of 8843 and 8847 is 78234021.