Least Common Multiple of 8787 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 8787 and 8791 the smallest integer that is 77246517 that is divisible by both numbers.
Least Common Multiple (LCM) of 8787 and 8791 is 77246517.
LCM(8787,8791) = 77246517
LCM of 8787 and 8791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8787 and 8791 by Prime method
- Least Common Multiple of 8787 and 8791 with GCF Formula
LCM of 8787 and 8791 is 77246517
Least common multiple can be found by multiplying the highest exponent prime factors of 8787 and 8791. First we will calculate the prime factors of 8787 and 8791.
Prime Factorization of 8787
| 3 | 8787 |
| 29 | 2929 |
| 101 | 101 |
| 1 |
Prime factors of 8787 are 3, 29,101. Prime factorization of 8787 in exponential form is:
8787 = 31×291×1011
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 8787 and 8791.
LCM(8787,8791) = 31×291×591×1011×1491
LCM(8787,8791) = 77246517
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1, 3, 29, 87, 101, 303, 2929, 8787
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1, 59, 149, 8791
Least Common Multiple of 8787 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 8787 and 8791, than apply into the LCM equation.
GCF(8787,8791) = 1
LCM(8787,8791) = ( 8787 × 8791) / 1
LCM(8787,8791) = 77246517 / 1
LCM(8787,8791) = 77246517
Properties of LCM 8787 and 8791
(i) The LCM of 8791 and 8787 is associative
LCM of 8787 and 8791 = LCM of 8791 and 8787
Related Least Common Multiples of 8787
Related Least Common Multiples of 8791
Frequently Asked Questions on LCM of 8787 and 8791
1. What is the LCM of 8787 and 8791?
Answer: LCM of 8787 and 8791 is 77246517.
2. What are the Factors of 8787?
Answer: Factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787. There are 8 integers that are factors of 8787. The greatest factor of 8787 is 8787.
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 8787 and 8791?
Answer:
Least Common Multiple of 8787 and 8791 = 77246517
Step 1: Find the prime factorization of 8787
8787 = 3 x 29 x 101
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 = 77246517 = 3 x 29 x 59 x 101 x 149
Step 4: Therefore, the least common multiple of 8787 and 8791 is 77246517.