Least Common Multiple of 8525 and 8529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8525 and 8529 the smallest integer that is 72709725 that is divisible by both numbers.
Least Common Multiple (LCM) of 8525 and 8529 is 72709725.
LCM(8525,8529) = 72709725
LCM of 8525 and 8529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8525 and 8529 by Prime method
- Least Common Multiple of 8525 and 8529 with GCF Formula
LCM of 8525 and 8529 is 72709725
Least common multiple can be found by multiplying the highest exponent prime factors of 8525 and 8529. First we will calculate the prime factors of 8525 and 8529.
Prime Factorization of 8525
| 5 | 8525 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 8525 are 5, 11,31. Prime factorization of 8525 in exponential form is:
8525 = 52×111×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8525 and 8529.
LCM(8525,8529) = 31×52×111×311×28431
LCM(8525,8529) = 72709725
Factors of 8525
List of positive integer factors of 8525 that divides 8525 without a remainder.
1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525
Factors of 8529
List of positive integer factors of 8529 that divides 8529 without a remainder.
1, 3, 2843, 8529
Least Common Multiple of 8525 and 8529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8525 and 8529, than apply into the LCM equation.
GCF(8525,8529) = 1
LCM(8525,8529) = ( 8525 × 8529) / 1
LCM(8525,8529) = 72709725 / 1
LCM(8525,8529) = 72709725
Properties of LCM 8525 and 8529
(i) The LCM of 8529 and 8525 is associative
LCM of 8525 and 8529 = LCM of 8529 and 8525
Related Least Common Multiples of 8525
Related Least Common Multiples of 8529
Frequently Asked Questions on LCM of 8525 and 8529
1. What is the LCM of 8525 and 8529?
Answer: LCM of 8525 and 8529 is 72709725.
2. What are the Factors of 8525?
Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.
3. 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.
4. How to Find the LCM of 8525 and 8529?
Answer:
Least Common Multiple of 8525 and 8529 = 72709725
Step 1: Find the prime factorization of 8525
8525 = 5 x 5 x 11 x 31
Step 2: Find the prime factorization of 8529
8529 = 3 x 2843
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72709725 = 3 x 5 x 5 x 11 x 31 x 2843
Step 4: Therefore, the least common multiple of 8525 and 8529 is 72709725.