Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8659 and 8665 the smallest integer that is 75030235 that is divisible by both numbers.
Least Common Multiple (LCM) of 8659 and 8665 is 75030235.
LCM(8659,8665) = 75030235
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 8659 and 8665. First we will calculate the prime factors of 8659 and 8665.
Prime Factorization of 8659
7 | 8659 |
1237 | 1237 |
1 |
Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:
8659 = 71×12371
Prime Factorization of 8665
5 | 8665 |
1733 | 1733 |
1 |
Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:
8665 = 51×17331
Now multiplying the highest exponent prime factors to calculate the LCM of 8659 and 8665.
LCM(8659,8665) = 51×71×12371×17331
LCM(8659,8665) = 75030235
Factors of 8659
List of positive integer factors of 8659 that divides 8659 without a remainder.
1, 7, 1237, 8659
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1, 5, 1733, 8665
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8659 and 8665, than apply into the LCM equation.
GCF(8659,8665) = 1
LCM(8659,8665) = ( 8659 × 8665) / 1
LCM(8659,8665) = 75030235 / 1
LCM(8659,8665) = 75030235
(i) The LCM of 8665 and 8659 is associative
LCM of 8659 and 8665 = LCM of 8665 and 8659
1. What is the LCM of 8659 and 8665?
Answer: LCM of 8659 and 8665 is 75030235.
2. What are the Factors of 8659?
Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.
3. What are the Factors of 8665?
Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.
4. How to Find the LCM of 8659 and 8665?
Answer:
Least Common Multiple of 8659 and 8665 = 75030235
Step 1: Find the prime factorization of 8659
8659 = 7 x 1237
Step 2: Find the prime factorization of 8665
8665 = 5 x 1733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75030235 = 5 x 7 x 1237 x 1733
Step 4: Therefore, the least common multiple of 8659 and 8665 is 75030235.