Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8775 and 8782 the smallest integer that is 77062050 that is divisible by both numbers.
Least Common Multiple (LCM) of 8775 and 8782 is 77062050.
LCM(8775,8782) = 77062050
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 8775 and 8782. First we will calculate the prime factors of 8775 and 8782.
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
Prime Factorization of 8782
2 | 8782 |
4391 | 4391 |
1 |
Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:
8782 = 21×43911
Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8782.
LCM(8775,8782) = 21×33×52×131×43911
LCM(8775,8782) = 77062050
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
Factors of 8782
List of positive integer factors of 8782 that divides 8782 without a remainder.
1, 2, 4391, 8782
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8775 and 8782, than apply into the LCM equation.
GCF(8775,8782) = 1
LCM(8775,8782) = ( 8775 × 8782) / 1
LCM(8775,8782) = 77062050 / 1
LCM(8775,8782) = 77062050
(i) The LCM of 8782 and 8775 is associative
LCM of 8775 and 8782 = LCM of 8782 and 8775
1. What is the LCM of 8775 and 8782?
Answer: LCM of 8775 and 8782 is 77062050.
2. 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.
3. What are the Factors of 8782?
Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.
4. How to Find the LCM of 8775 and 8782?
Answer:
Least Common Multiple of 8775 and 8782 = 77062050
Step 1: Find the prime factorization of 8775
8775 = 3 x 3 x 3 x 5 x 5 x 13
Step 2: Find the prime factorization of 8782
8782 = 2 x 4391
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77062050 = 2 x 3 x 3 x 3 x 5 x 5 x 13 x 4391
Step 4: Therefore, the least common multiple of 8775 and 8782 is 77062050.