Least Common Multiple of 8891 and 8897
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8891 and 8897 the smallest integer that is 79103227 that is divisible by both numbers.
Least Common Multiple (LCM) of 8891 and 8897 is 79103227.
LCM(8891,8897) = 79103227
LCM of 8891 and 8897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8891 and 8897 by Prime method
- Least Common Multiple of 8891 and 8897 with GCF Formula
LCM of 8891 and 8897 is 79103227
Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8897. First we will calculate the prime factors of 8891 and 8897.
Prime Factorization of 8891
| 17 | 8891 |
| 523 | 523 |
| 1 |
Prime factors of 8891 are 17,523. Prime factorization of 8891 in exponential form is:
8891 = 171×5231
Prime Factorization of 8897
| 7 | 8897 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 8897 are 7, 31,41. Prime factorization of 8897 in exponential form is:
8897 = 71×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8897.
LCM(8891,8897) = 71×171×311×411×5231
LCM(8891,8897) = 79103227
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1, 17, 523, 8891
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1, 7, 31, 41, 217, 287, 1271, 8897
Least Common Multiple of 8891 and 8897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8891 and 8897, than apply into the LCM equation.
GCF(8891,8897) = 1
LCM(8891,8897) = ( 8891 × 8897) / 1
LCM(8891,8897) = 79103227 / 1
LCM(8891,8897) = 79103227
Properties of LCM 8891 and 8897
(i) The LCM of 8897 and 8891 is associative
LCM of 8891 and 8897 = LCM of 8897 and 8891
Related Least Common Multiples of 8891
Related Least Common Multiples of 8897
Frequently Asked Questions on LCM of 8891 and 8897
1. What is the LCM of 8891 and 8897?
Answer: LCM of 8891 and 8897 is 79103227.
2. What are the Factors of 8891?
Answer: Factors of 8891 are 1, 17, 523, 8891. There are 4 integers that are factors of 8891. The greatest factor of 8891 is 8891.
3. What are the Factors of 8897?
Answer: Factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897. There are 8 integers that are factors of 8897. The greatest factor of 8897 is 8897.
4. How to Find the LCM of 8891 and 8897?
Answer:
Least Common Multiple of 8891 and 8897 = 79103227
Step 1: Find the prime factorization of 8891
8891 = 17 x 523
Step 2: Find the prime factorization of 8897
8897 = 7 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79103227 = 7 x 17 x 31 x 41 x 523
Step 4: Therefore, the least common multiple of 8891 and 8897 is 79103227.