Least Common Multiple of 8526 and 8531
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8526 and 8531 the smallest integer that is 72735306 that is divisible by both numbers.
Least Common Multiple (LCM) of 8526 and 8531 is 72735306.
LCM(8526,8531) = 72735306
LCM of 8526 and 8531
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8526 and 8531 by Prime method
- Least Common Multiple of 8526 and 8531 with GCF Formula
LCM of 8526 and 8531 is 72735306
Least common multiple can be found by multiplying the highest exponent prime factors of 8526 and 8531. First we will calculate the prime factors of 8526 and 8531.
Prime Factorization of 8526
| 2 | 8526 |
| 3 | 4263 |
| 7 | 1421 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 8526 are 2, 3, 7,29. Prime factorization of 8526 in exponential form is:
8526 = 21×31×72×291
Prime Factorization of 8531
| 19 | 8531 |
| 449 | 449 |
| 1 |
Prime factors of 8531 are 19,449. Prime factorization of 8531 in exponential form is:
8531 = 191×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 8526 and 8531.
LCM(8526,8531) = 21×31×72×191×291×4491
LCM(8526,8531) = 72735306
Factors of 8526
List of positive integer factors of 8526 that divides 8526 without a remainder.
1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
Factors of 8531
List of positive integer factors of 8531 that divides 8531 without a remainder.
1, 19, 449, 8531
Least Common Multiple of 8526 and 8531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8526 and 8531, than apply into the LCM equation.
GCF(8526,8531) = 1
LCM(8526,8531) = ( 8526 × 8531) / 1
LCM(8526,8531) = 72735306 / 1
LCM(8526,8531) = 72735306
Properties of LCM 8526 and 8531
(i) The LCM of 8531 and 8526 is associative
LCM of 8526 and 8531 = LCM of 8531 and 8526
Related Least Common Multiples of 8526
Related Least Common Multiples of 8531
Frequently Asked Questions on LCM of 8526 and 8531
1. What is the LCM of 8526 and 8531?
Answer: LCM of 8526 and 8531 is 72735306.
2. What are the Factors of 8526?
Answer: Factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526. There are 24 integers that are factors of 8526. The greatest factor of 8526 is 8526.
3. What are the Factors of 8531?
Answer: Factors of 8531 are 1, 19, 449, 8531. There are 4 integers that are factors of 8531. The greatest factor of 8531 is 8531.
4. How to Find the LCM of 8526 and 8531?
Answer:
Least Common Multiple of 8526 and 8531 = 72735306
Step 1: Find the prime factorization of 8526
8526 = 2 x 3 x 7 x 7 x 29
Step 2: Find the prime factorization of 8531
8531 = 19 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72735306 = 2 x 3 x 7 x 7 x 19 x 29 x 449
Step 4: Therefore, the least common multiple of 8526 and 8531 is 72735306.