Least Common Multiple of 8883 and 8891
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8883 and 8891 the smallest integer that is 78978753 that is divisible by both numbers.
Least Common Multiple (LCM) of 8883 and 8891 is 78978753.
LCM(8883,8891) = 78978753
LCM of 8883 and 8891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8883 and 8891 by Prime method
- Least Common Multiple of 8883 and 8891 with GCF Formula
LCM of 8883 and 8891 is 78978753
Least common multiple can be found by multiplying the highest exponent prime factors of 8883 and 8891. First we will calculate the prime factors of 8883 and 8891.
Prime Factorization of 8883
| 3 | 8883 |
| 3 | 2961 |
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 8883 are 3, 7,47. Prime factorization of 8883 in exponential form is:
8883 = 33×71×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8883 and 8891.
LCM(8883,8891) = 33×71×171×471×5231
LCM(8883,8891) = 78978753
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1, 17, 523, 8891
Least Common Multiple of 8883 and 8891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8883 and 8891, than apply into the LCM equation.
GCF(8883,8891) = 1
LCM(8883,8891) = ( 8883 × 8891) / 1
LCM(8883,8891) = 78978753 / 1
LCM(8883,8891) = 78978753
Properties of LCM 8883 and 8891
(i) The LCM of 8891 and 8883 is associative
LCM of 8883 and 8891 = LCM of 8891 and 8883
Related Least Common Multiples of 8883
Related Least Common Multiples of 8891
Frequently Asked Questions on LCM of 8883 and 8891
1. What is the LCM of 8883 and 8891?
Answer: LCM of 8883 and 8891 is 78978753.
2. What are the Factors of 8883?
Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.
3. 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.
4. How to Find the LCM of 8883 and 8891?
Answer:
Least Common Multiple of 8883 and 8891 = 78978753
Step 1: Find the prime factorization of 8883
8883 = 3 x 3 x 3 x 7 x 47
Step 2: Find the prime factorization of 8891
8891 = 17 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78978753 = 3 x 3 x 3 x 7 x 17 x 47 x 523
Step 4: Therefore, the least common multiple of 8883 and 8891 is 78978753.