Least Common Multiple of 8507 and 8515
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8507 and 8515 the smallest integer that is 72437105 that is divisible by both numbers.
Least Common Multiple (LCM) of 8507 and 8515 is 72437105.
LCM(8507,8515) = 72437105
LCM of 8507 and 8515
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8507 and 8515 by Prime method
- Least Common Multiple of 8507 and 8515 with GCF Formula
LCM of 8507 and 8515 is 72437105
Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8515. First we will calculate the prime factors of 8507 and 8515.
Prime Factorization of 8507
| 47 | 8507 |
| 181 | 181 |
| 1 |
Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:
8507 = 471×1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8507 and 8515.
LCM(8507,8515) = 51×131×471×1311×1811
LCM(8507,8515) = 72437105
Factors of 8507
List of positive integer factors of 8507 that divides 8507 without a remainder.
1, 47, 181, 8507
Factors of 8515
List of positive integer factors of 8515 that divides 8515 without a remainder.
1, 5, 13, 65, 131, 655, 1703, 8515
Least Common Multiple of 8507 and 8515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8507 and 8515, than apply into the LCM equation.
GCF(8507,8515) = 1
LCM(8507,8515) = ( 8507 × 8515) / 1
LCM(8507,8515) = 72437105 / 1
LCM(8507,8515) = 72437105
Properties of LCM 8507 and 8515
(i) The LCM of 8515 and 8507 is associative
LCM of 8507 and 8515 = LCM of 8515 and 8507
Related Least Common Multiples of 8507
Related Least Common Multiples of 8515
Frequently Asked Questions on LCM of 8507 and 8515
1. What is the LCM of 8507 and 8515?
Answer: LCM of 8507 and 8515 is 72437105.
2. What are the Factors of 8507?
Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.
3. 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.
4. How to Find the LCM of 8507 and 8515?
Answer:
Least Common Multiple of 8507 and 8515 = 72437105
Step 1: Find the prime factorization of 8507
8507 = 47 x 181
Step 2: Find the prime factorization of 8515
8515 = 5 x 13 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72437105 = 5 x 13 x 47 x 131 x 181
Step 4: Therefore, the least common multiple of 8507 and 8515 is 72437105.