Least Common Multiple of 8847 and 8851
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 8851 the smallest integer that is 78304797 that is divisible by both numbers.
Least Common Multiple (LCM) of 8847 and 8851 is 78304797.
LCM(8847,8851) = 78304797
LCM of 8847 and 8851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8847 and 8851 by Prime method
- Least Common Multiple of 8847 and 8851 with GCF Formula
LCM of 8847 and 8851 is 78304797
Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8851. First we will calculate the prime factors of 8847 and 8851.
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 8851
| 53 | 8851 |
| 167 | 167 |
| 1 |
Prime factors of 8851 are 53,167. Prime factorization of 8851 in exponential form is:
8851 = 531×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8851.
LCM(8847,8851) = 32×531×1671×9831
LCM(8847,8851) = 78304797
Factors of 8847
List of positive integer factors of 8847 that divides 8847 without a remainder.
1, 3, 9, 983, 2949, 8847
Factors of 8851
List of positive integer factors of 8851 that divides 8851 without a remainder.
1, 53, 167, 8851
Least Common Multiple of 8847 and 8851 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 8851, than apply into the LCM equation.
GCF(8847,8851) = 1
LCM(8847,8851) = ( 8847 × 8851) / 1
LCM(8847,8851) = 78304797 / 1
LCM(8847,8851) = 78304797
Properties of LCM 8847 and 8851
(i) The LCM of 8851 and 8847 is associative
LCM of 8847 and 8851 = LCM of 8851 and 8847
Related Least Common Multiples of 8847
Related Least Common Multiples of 8851
Frequently Asked Questions on LCM of 8847 and 8851
1. What is the LCM of 8847 and 8851?
Answer: LCM of 8847 and 8851 is 78304797.
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 8851?
Answer: Factors of 8851 are 1, 53, 167, 8851. There are 4 integers that are factors of 8851. The greatest factor of 8851 is 8851.
4. How to Find the LCM of 8847 and 8851?
Answer:
Least Common Multiple of 8847 and 8851 = 78304797
Step 1: Find the prime factorization of 8847
8847 = 3 x 3 x 983
Step 2: Find the prime factorization of 8851
8851 = 53 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78304797 = 3 x 3 x 53 x 167 x 983
Step 4: Therefore, the least common multiple of 8847 and 8851 is 78304797.