Least Common Multiple of 8789 and 8791
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8789 and 8791 the smallest integer that is 77264099 that is divisible by both numbers.
Least Common Multiple (LCM) of 8789 and 8791 is 77264099.
LCM(8789,8791) = 77264099
LCM of 8789 and 8791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8789 and 8791 by Prime method
- Least Common Multiple of 8789 and 8791 with GCF Formula
LCM of 8789 and 8791 is 77264099
Least common multiple can be found by multiplying the highest exponent prime factors of 8789 and 8791. First we will calculate the prime factors of 8789 and 8791.
Prime Factorization of 8789
| 11 | 8789 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 8789 are 11, 17,47. Prime factorization of 8789 in exponential form is:
8789 = 111×171×471
Prime Factorization of 8791
| 59 | 8791 |
| 149 | 149 |
| 1 |
Prime factors of 8791 are 59,149. Prime factorization of 8791 in exponential form is:
8791 = 591×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 8789 and 8791.
LCM(8789,8791) = 111×171×471×591×1491
LCM(8789,8791) = 77264099
Factors of 8789
List of positive integer factors of 8789 that divides 8789 without a remainder.
1, 11, 17, 47, 187, 517, 799, 8789
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1, 59, 149, 8791
Least Common Multiple of 8789 and 8791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8789 and 8791, than apply into the LCM equation.
GCF(8789,8791) = 1
LCM(8789,8791) = ( 8789 × 8791) / 1
LCM(8789,8791) = 77264099 / 1
LCM(8789,8791) = 77264099
Properties of LCM 8789 and 8791
(i) The LCM of 8791 and 8789 is associative
LCM of 8789 and 8791 = LCM of 8791 and 8789
Related Least Common Multiples of 8789
Related Least Common Multiples of 8791
Frequently Asked Questions on LCM of 8789 and 8791
1. What is the LCM of 8789 and 8791?
Answer: LCM of 8789 and 8791 is 77264099.
2. What are the Factors of 8789?
Answer: Factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789. There are 8 integers that are factors of 8789. The greatest factor of 8789 is 8789.
3. What are the Factors of 8791?
Answer: Factors of 8791 are 1, 59, 149, 8791. There are 4 integers that are factors of 8791. The greatest factor of 8791 is 8791.
4. How to Find the LCM of 8789 and 8791?
Answer:
Least Common Multiple of 8789 and 8791 = 77264099
Step 1: Find the prime factorization of 8789
8789 = 11 x 17 x 47
Step 2: Find the prime factorization of 8791
8791 = 59 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77264099 = 11 x 17 x 47 x 59 x 149
Step 4: Therefore, the least common multiple of 8789 and 8791 is 77264099.