Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8529 and 8535 the smallest integer that is 24265005 that is divisible by both numbers.
Least Common Multiple (LCM) of 8529 and 8535 is 24265005.
LCM(8529,8535) = 24265005
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 8529 and 8535. First we will calculate the prime factors of 8529 and 8535.
Prime Factorization of 8529
3 | 8529 |
2843 | 2843 |
1 |
Prime factors of 8529 are 3,2843. Prime factorization of 8529 in exponential form is:
8529 = 31×28431
Prime Factorization of 8535
3 | 8535 |
5 | 2845 |
569 | 569 |
1 |
Prime factors of 8535 are 3, 5,569. Prime factorization of 8535 in exponential form is:
8535 = 31×51×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 8529 and 8535.
LCM(8529,8535) = 31×51×5691×28431
LCM(8529,8535) = 24265005
Factors of 8529
List of positive integer factors of 8529 that divides 8529 without a remainder.
1, 3, 2843, 8529
Factors of 8535
List of positive integer factors of 8535 that divides 8535 without a remainder.
1, 3, 5, 15, 569, 1707, 2845, 8535
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8529 and 8535, than apply into the LCM equation.
GCF(8529,8535) = 3
LCM(8529,8535) = ( 8529 × 8535) / 3
LCM(8529,8535) = 72795015 / 3
LCM(8529,8535) = 24265005
(i) The LCM of 8535 and 8529 is associative
LCM of 8529 and 8535 = LCM of 8535 and 8529
1. What is the LCM of 8529 and 8535?
Answer: LCM of 8529 and 8535 is 24265005.
2. What are the Factors of 8529?
Answer: Factors of 8529 are 1, 3, 2843, 8529. There are 4 integers that are factors of 8529. The greatest factor of 8529 is 8529.
3. What are the Factors of 8535?
Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.
4. How to Find the LCM of 8529 and 8535?
Answer:
Least Common Multiple of 8529 and 8535 = 24265005
Step 1: Find the prime factorization of 8529
8529 = 3 x 2843
Step 2: Find the prime factorization of 8535
8535 = 3 x 5 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24265005 = 3 x 5 x 569 x 2843
Step 4: Therefore, the least common multiple of 8529 and 8535 is 24265005.