Least Common Multiple of 8791 and 8799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8791 and 8799 the smallest integer that is 77352009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8791 and 8799 is 77352009.
LCM(8791,8799) = 77352009
LCM of 8791 and 8799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8791 and 8799 by Prime method
- Least Common Multiple of 8791 and 8799 with GCF Formula
LCM of 8791 and 8799 is 77352009
Least common multiple can be found by multiplying the highest exponent prime factors of 8791 and 8799. First we will calculate the prime factors of 8791 and 8799.
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
Prime Factorization of 8799
| 3 | 8799 |
| 7 | 2933 |
| 419 | 419 |
| 1 |
Prime factors of 8799 are 3, 7,419. Prime factorization of 8799 in exponential form is:
8799 = 31×71×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 8791 and 8799.
LCM(8791,8799) = 31×71×591×1491×4191
LCM(8791,8799) = 77352009
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1, 59, 149, 8791
Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1, 3, 7, 21, 419, 1257, 2933, 8799
Least Common Multiple of 8791 and 8799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8791 and 8799, than apply into the LCM equation.
GCF(8791,8799) = 1
LCM(8791,8799) = ( 8791 × 8799) / 1
LCM(8791,8799) = 77352009 / 1
LCM(8791,8799) = 77352009
Properties of LCM 8791 and 8799
(i) The LCM of 8799 and 8791 is associative
LCM of 8791 and 8799 = LCM of 8799 and 8791
Related Least Common Multiples of 8791
Related Least Common Multiples of 8799
Frequently Asked Questions on LCM of 8791 and 8799
1. What is the LCM of 8791 and 8799?
Answer: LCM of 8791 and 8799 is 77352009.
2. 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.
3. What are the Factors of 8799?
Answer: Factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799. There are 8 integers that are factors of 8799. The greatest factor of 8799 is 8799.
4. How to Find the LCM of 8791 and 8799?
Answer:
Least Common Multiple of 8791 and 8799 = 77352009
Step 1: Find the prime factorization of 8791
8791 = 59 x 149
Step 2: Find the prime factorization of 8799
8799 = 3 x 7 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77352009 = 3 x 7 x 59 x 149 x 419
Step 4: Therefore, the least common multiple of 8791 and 8799 is 77352009.