Least Common Multiple of 8515 and 8521
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 8521 the smallest integer that is 72556315 that is divisible by both numbers.
Least Common Multiple (LCM) of 8515 and 8521 is 72556315.
LCM(8515,8521) = 72556315
LCM of 8515 and 8521
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8515 and 8521 by Prime method
- Least Common Multiple of 8515 and 8521 with GCF Formula
LCM of 8515 and 8521 is 72556315
Least common multiple can be found by multiplying the highest exponent prime factors of 8515 and 8521. First we will calculate the prime factors of 8515 and 8521.
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 8521
| 8521 | 8521 |
| 1 |
Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:
8521 = 85211
Now multiplying the highest exponent prime factors to calculate the LCM of 8515 and 8521.
LCM(8515,8521) = 51×131×1311×85211
LCM(8515,8521) = 72556315
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 8521
List of positive integer factors of 8521 that divides 8521 without a remainder.
1, 8521
Least Common Multiple of 8515 and 8521 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 8521, than apply into the LCM equation.
GCF(8515,8521) = 1
LCM(8515,8521) = ( 8515 × 8521) / 1
LCM(8515,8521) = 72556315 / 1
LCM(8515,8521) = 72556315
Properties of LCM 8515 and 8521
(i) The LCM of 8521 and 8515 is associative
LCM of 8515 and 8521 = LCM of 8521 and 8515
Related Least Common Multiples of 8515
Related Least Common Multiples of 8521
Frequently Asked Questions on LCM of 8515 and 8521
1. What is the LCM of 8515 and 8521?
Answer: LCM of 8515 and 8521 is 72556315.
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 8521?
Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.
4. How to Find the LCM of 8515 and 8521?
Answer:
Least Common Multiple of 8515 and 8521 = 72556315
Step 1: Find the prime factorization of 8515
8515 = 5 x 13 x 131
Step 2: Find the prime factorization of 8521
8521 = 8521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72556315 = 5 x 13 x 131 x 8521
Step 4: Therefore, the least common multiple of 8515 and 8521 is 72556315.