Least Common Multiple of 8527 and 8534
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8527 and 8534 the smallest integer that is 72769418 that is divisible by both numbers.
Least Common Multiple (LCM) of 8527 and 8534 is 72769418.
LCM(8527,8534) = 72769418
LCM of 8527 and 8534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8527 and 8534 by Prime method
- Least Common Multiple of 8527 and 8534 with GCF Formula
LCM of 8527 and 8534 is 72769418
Least common multiple can be found by multiplying the highest exponent prime factors of 8527 and 8534. First we will calculate the prime factors of 8527 and 8534.
Prime Factorization of 8527
| 8527 | 8527 |
| 1 |
Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:
8527 = 85271
Prime Factorization of 8534
| 2 | 8534 |
| 17 | 4267 |
| 251 | 251 |
| 1 |
Prime factors of 8534 are 2, 17,251. Prime factorization of 8534 in exponential form is:
8534 = 21×171×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 8527 and 8534.
LCM(8527,8534) = 21×171×2511×85271
LCM(8527,8534) = 72769418
Factors of 8527
List of positive integer factors of 8527 that divides 8527 without a remainder.
1, 8527
Factors of 8534
List of positive integer factors of 8534 that divides 8534 without a remainder.
1, 2, 17, 34, 251, 502, 4267, 8534
Least Common Multiple of 8527 and 8534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8527 and 8534, than apply into the LCM equation.
GCF(8527,8534) = 1
LCM(8527,8534) = ( 8527 × 8534) / 1
LCM(8527,8534) = 72769418 / 1
LCM(8527,8534) = 72769418
Properties of LCM 8527 and 8534
(i) The LCM of 8534 and 8527 is associative
LCM of 8527 and 8534 = LCM of 8534 and 8527
Related Least Common Multiples of 8527
Related Least Common Multiples of 8534
Frequently Asked Questions on LCM of 8527 and 8534
1. What is the LCM of 8527 and 8534?
Answer: LCM of 8527 and 8534 is 72769418.
2. What are the Factors of 8527?
Answer: Factors of 8527 are 1, 8527. There are 2 integers that are factors of 8527. The greatest factor of 8527 is 8527.
3. What are the Factors of 8534?
Answer: Factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534. There are 8 integers that are factors of 8534. The greatest factor of 8534 is 8534.
4. How to Find the LCM of 8527 and 8534?
Answer:
Least Common Multiple of 8527 and 8534 = 72769418
Step 1: Find the prime factorization of 8527
8527 = 8527
Step 2: Find the prime factorization of 8534
8534 = 2 x 17 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72769418 = 2 x 17 x 251 x 8527
Step 4: Therefore, the least common multiple of 8527 and 8534 is 72769418.