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 8775 the smallest integer that is 76930425 that is divisible by both numbers.
Least Common Multiple (LCM) of 8767 and 8775 is 76930425.
LCM(8767,8775) = 76930425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8767 and 8775. First we will calculate the prime factors of 8767 and 8775.
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 8775
3 | 8775 |
3 | 2925 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 8775 are 3, 5,13. Prime factorization of 8775 in exponential form is:
8775 = 33×52×131
Now multiplying the highest exponent prime factors to calculate the LCM of 8767 and 8775.
LCM(8767,8775) = 33×52×111×131×7971
LCM(8767,8775) = 76930425
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1, 11, 797, 8767
Factors of 8775
List of positive integer factors of 8775 that divides 8775 without a remainder.
1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8767 and 8775, than apply into the LCM equation.
GCF(8767,8775) = 1
LCM(8767,8775) = ( 8767 × 8775) / 1
LCM(8767,8775) = 76930425 / 1
LCM(8767,8775) = 76930425
(i) The LCM of 8775 and 8767 is associative
LCM of 8767 and 8775 = LCM of 8775 and 8767
1. What is the LCM of 8767 and 8775?
Answer: LCM of 8767 and 8775 is 76930425.
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 8775?
Answer: Factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775. There are 24 integers that are factors of 8775. The greatest factor of 8775 is 8775.
4. How to Find the LCM of 8767 and 8775?
Answer:
Least Common Multiple of 8767 and 8775 = 76930425
Step 1: Find the prime factorization of 8767
8767 = 11 x 797
Step 2: Find the prime factorization of 8775
8775 = 3 x 3 x 3 x 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76930425 = 3 x 3 x 3 x 5 x 5 x 11 x 13 x 797
Step 4: Therefore, the least common multiple of 8767 and 8775 is 76930425.