Least Common Multiple of 8515 and 8519
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8515 and 8519 the smallest integer that is 72539285 that is divisible by both numbers.
Least Common Multiple (LCM) of 8515 and 8519 is 72539285.
LCM(8515,8519) = 72539285
LCM of 8515 and 8519
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8515 and 8519 by Prime method
- Least Common Multiple of 8515 and 8519 with GCF Formula
LCM of 8515 and 8519 is 72539285
Least common multiple can be found by multiplying the highest exponent prime factors of 8515 and 8519. First we will calculate the prime factors of 8515 and 8519.
Prime Factorization of 8515
| 5 | 8515 |
| 13 | 1703 |
| 131 | 131 |
| 1 |
Prime factors of 8515 are 5, 13,131. Prime factorization of 8515 in exponential form is:
8515 = 51×131×1311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8515 and 8519.
LCM(8515,8519) = 51×71×131×1311×12171
LCM(8515,8519) = 72539285
Factors of 8515
List of positive integer factors of 8515 that divides 8515 without a remainder.
1, 5, 13, 65, 131, 655, 1703, 8515
Factors of 8519
List of positive integer factors of 8519 that divides 8519 without a remainder.
1, 7, 1217, 8519
Least Common Multiple of 8515 and 8519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8515 and 8519, than apply into the LCM equation.
GCF(8515,8519) = 1
LCM(8515,8519) = ( 8515 × 8519) / 1
LCM(8515,8519) = 72539285 / 1
LCM(8515,8519) = 72539285
Properties of LCM 8515 and 8519
(i) The LCM of 8519 and 8515 is associative
LCM of 8515 and 8519 = LCM of 8519 and 8515
Related Least Common Multiples of 8515
Related Least Common Multiples of 8519
Frequently Asked Questions on LCM of 8515 and 8519
1. What is the LCM of 8515 and 8519?
Answer: LCM of 8515 and 8519 is 72539285.
2. What are the Factors of 8515?
Answer: Factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515. There are 8 integers that are factors of 8515. The greatest factor of 8515 is 8515.
3. 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.
4. How to Find the LCM of 8515 and 8519?
Answer:
Least Common Multiple of 8515 and 8519 = 72539285
Step 1: Find the prime factorization of 8515
8515 = 5 x 13 x 131
Step 2: Find the prime factorization of 8519
8519 = 7 x 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72539285 = 5 x 7 x 13 x 131 x 1217
Step 4: Therefore, the least common multiple of 8515 and 8519 is 72539285.