Least Common Multiple of 8519 and 8525
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8519 and 8525 the smallest integer that is 72624475 that is divisible by both numbers.
Least Common Multiple (LCM) of 8519 and 8525 is 72624475.
LCM(8519,8525) = 72624475
LCM of 8519 and 8525
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8519 and 8525 by Prime method
- Least Common Multiple of 8519 and 8525 with GCF Formula
LCM of 8519 and 8525 is 72624475
Least common multiple can be found by multiplying the highest exponent prime factors of 8519 and 8525. First we will calculate the prime factors of 8519 and 8525.
Prime Factorization of 8519
| 7 | 8519 |
| 1217 | 1217 |
| 1 |
Prime factors of 8519 are 7,1217. Prime factorization of 8519 in exponential form is:
8519 = 71×12171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8519 and 8525.
LCM(8519,8525) = 52×71×111×311×12171
LCM(8519,8525) = 72624475
Factors of 8519
List of positive integer factors of 8519 that divides 8519 without a remainder.
1, 7, 1217, 8519
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
Least Common Multiple of 8519 and 8525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8519 and 8525, than apply into the LCM equation.
GCF(8519,8525) = 1
LCM(8519,8525) = ( 8519 × 8525) / 1
LCM(8519,8525) = 72624475 / 1
LCM(8519,8525) = 72624475
Properties of LCM 8519 and 8525
(i) The LCM of 8525 and 8519 is associative
LCM of 8519 and 8525 = LCM of 8525 and 8519
Related Least Common Multiples of 8519
Related Least Common Multiples of 8525
Frequently Asked Questions on LCM of 8519 and 8525
1. What is the LCM of 8519 and 8525?
Answer: LCM of 8519 and 8525 is 72624475.
2. What are the Factors of 8519?
Answer: Factors of 8519 are 1, 7, 1217, 8519. There are 4 integers that are factors of 8519. The greatest factor of 8519 is 8519.
3. 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.
4. How to Find the LCM of 8519 and 8525?
Answer:
Least Common Multiple of 8519 and 8525 = 72624475
Step 1: Find the prime factorization of 8519
8519 = 7 x 1217
Step 2: Find the prime factorization of 8525
8525 = 5 x 5 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72624475 = 5 x 5 x 7 x 11 x 31 x 1217
Step 4: Therefore, the least common multiple of 8519 and 8525 is 72624475.