Least Common Multiple of 8525 and 8530
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 8530 the smallest integer that is 14543650 that is divisible by both numbers.
Least Common Multiple (LCM) of 8525 and 8530 is 14543650.
LCM(8525,8530) = 14543650
LCM of 8525 and 8530
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8525 and 8530 by Prime method
- Least Common Multiple of 8525 and 8530 with GCF Formula
LCM of 8525 and 8530 is 14543650
Least common multiple can be found by multiplying the highest exponent prime factors of 8525 and 8530. First we will calculate the prime factors of 8525 and 8530.
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 8530
| 2 | 8530 |
| 5 | 4265 |
| 853 | 853 |
| 1 |
Prime factors of 8530 are 2, 5,853. Prime factorization of 8530 in exponential form is:
8530 = 21×51×8531
Now multiplying the highest exponent prime factors to calculate the LCM of 8525 and 8530.
LCM(8525,8530) = 21×52×111×311×8531
LCM(8525,8530) = 14543650
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 8530
List of positive integer factors of 8530 that divides 8530 without a remainder.
1, 2, 5, 10, 853, 1706, 4265, 8530
Least Common Multiple of 8525 and 8530 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 8530, than apply into the LCM equation.
GCF(8525,8530) = 5
LCM(8525,8530) = ( 8525 × 8530) / 5
LCM(8525,8530) = 72718250 / 5
LCM(8525,8530) = 14543650
Properties of LCM 8525 and 8530
(i) The LCM of 8530 and 8525 is associative
LCM of 8525 and 8530 = LCM of 8530 and 8525
Related Least Common Multiples of 8525
Related Least Common Multiples of 8530
Frequently Asked Questions on LCM of 8525 and 8530
1. What is the LCM of 8525 and 8530?
Answer: LCM of 8525 and 8530 is 14543650.
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 8530?
Answer: Factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530. There are 8 integers that are factors of 8530. The greatest factor of 8530 is 8530.
4. How to Find the LCM of 8525 and 8530?
Answer:
Least Common Multiple of 8525 and 8530 = 14543650
Step 1: Find the prime factorization of 8525
8525 = 5 x 5 x 11 x 31
Step 2: Find the prime factorization of 8530
8530 = 2 x 5 x 853
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14543650 = 2 x 5 x 5 x 11 x 31 x 853
Step 4: Therefore, the least common multiple of 8525 and 8530 is 14543650.