Least Common Multiple of 8767 and 8774
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8767 and 8774 the smallest integer that is 76921658 that is divisible by both numbers.
Least Common Multiple (LCM) of 8767 and 8774 is 76921658.
LCM(8767,8774) = 76921658
LCM of 8767 and 8774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8767 and 8774 by Prime method
- Least Common Multiple of 8767 and 8774 with GCF Formula
LCM of 8767 and 8774 is 76921658
Least common multiple can be found by multiplying the highest exponent prime factors of 8767 and 8774. First we will calculate the prime factors of 8767 and 8774.
Prime Factorization of 8767
| 11 | 8767 |
| 797 | 797 |
| 1 |
Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:
8767 = 111×7971
Prime Factorization of 8774
| 2 | 8774 |
| 41 | 4387 |
| 107 | 107 |
| 1 |
Prime factors of 8774 are 2, 41,107. Prime factorization of 8774 in exponential form is:
8774 = 21×411×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8767 and 8774.
LCM(8767,8774) = 21×111×411×1071×7971
LCM(8767,8774) = 76921658
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1, 11, 797, 8767
Factors of 8774
List of positive integer factors of 8774 that divides 8774 without a remainder.
1, 2, 41, 82, 107, 214, 4387, 8774
Least Common Multiple of 8767 and 8774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8767 and 8774, than apply into the LCM equation.
GCF(8767,8774) = 1
LCM(8767,8774) = ( 8767 × 8774) / 1
LCM(8767,8774) = 76921658 / 1
LCM(8767,8774) = 76921658
Properties of LCM 8767 and 8774
(i) The LCM of 8774 and 8767 is associative
LCM of 8767 and 8774 = LCM of 8774 and 8767
Related Least Common Multiples of 8767
Related Least Common Multiples of 8774
Frequently Asked Questions on LCM of 8767 and 8774
1. What is the LCM of 8767 and 8774?
Answer: LCM of 8767 and 8774 is 76921658.
2. What are the Factors of 8767?
Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.
3. What are the Factors of 8774?
Answer: Factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774. There are 8 integers that are factors of 8774. The greatest factor of 8774 is 8774.
4. How to Find the LCM of 8767 and 8774?
Answer:
Least Common Multiple of 8767 and 8774 = 76921658
Step 1: Find the prime factorization of 8767
8767 = 11 x 797
Step 2: Find the prime factorization of 8774
8774 = 2 x 41 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76921658 = 2 x 11 x 41 x 107 x 797
Step 4: Therefore, the least common multiple of 8767 and 8774 is 76921658.