Least Common Multiple of 8847 and 8854
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 8854 the smallest integer that is 78331338 that is divisible by both numbers.
Least Common Multiple (LCM) of 8847 and 8854 is 78331338.
LCM(8847,8854) = 78331338
LCM of 8847 and 8854
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8847 and 8854 by Prime method
- Least Common Multiple of 8847 and 8854 with GCF Formula
LCM of 8847 and 8854 is 78331338
Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8854. First we will calculate the prime factors of 8847 and 8854.
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 8854
| 2 | 8854 |
| 19 | 4427 |
| 233 | 233 |
| 1 |
Prime factors of 8854 are 2, 19,233. Prime factorization of 8854 in exponential form is:
8854 = 21×191×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8854.
LCM(8847,8854) = 21×32×191×2331×9831
LCM(8847,8854) = 78331338
Factors of 8847
List of positive integer factors of 8847 that divides 8847 without a remainder.
1, 3, 9, 983, 2949, 8847
Factors of 8854
List of positive integer factors of 8854 that divides 8854 without a remainder.
1, 2, 19, 38, 233, 466, 4427, 8854
Least Common Multiple of 8847 and 8854 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 8854, than apply into the LCM equation.
GCF(8847,8854) = 1
LCM(8847,8854) = ( 8847 × 8854) / 1
LCM(8847,8854) = 78331338 / 1
LCM(8847,8854) = 78331338
Properties of LCM 8847 and 8854
(i) The LCM of 8854 and 8847 is associative
LCM of 8847 and 8854 = LCM of 8854 and 8847
Related Least Common Multiples of 8847
Related Least Common Multiples of 8854
Frequently Asked Questions on LCM of 8847 and 8854
1. What is the LCM of 8847 and 8854?
Answer: LCM of 8847 and 8854 is 78331338.
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 8854?
Answer: Factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854. There are 8 integers that are factors of 8854. The greatest factor of 8854 is 8854.
4. How to Find the LCM of 8847 and 8854?
Answer:
Least Common Multiple of 8847 and 8854 = 78331338
Step 1: Find the prime factorization of 8847
8847 = 3 x 3 x 983
Step 2: Find the prime factorization of 8854
8854 = 2 x 19 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78331338 = 2 x 3 x 3 x 19 x 233 x 983
Step 4: Therefore, the least common multiple of 8847 and 8854 is 78331338.