Least Common Multiple of 527 and 531
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 527 and 531 the smallest integer that is 279837 that is divisible by both numbers.
Least Common Multiple (LCM) of 527 and 531 is 279837.
LCM(527,531) = 279837
LCM of 527 and 531
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 527 and 531 by Prime method
- Least Common Multiple of 527 and 531 with GCF Formula
LCM of 527 and 531 is 279837
Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 531. First we will calculate the prime factors of 527 and 531.
Prime Factorization of 527
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:
527 = 171×311
Prime Factorization of 531
| 3 | 531 |
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:
531 = 32×591
Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 531.
LCM(527,531) = 32×171×311×591
LCM(527,531) = 279837
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Least Common Multiple of 527 and 531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 527 and 531, than apply into the LCM equation.
GCF(527,531) = 1
LCM(527,531) = ( 527 × 531) / 1
LCM(527,531) = 279837 / 1
LCM(527,531) = 279837
Properties of LCM 527 and 531
(i) The LCM of 531 and 527 is associative
LCM of 527 and 531 = LCM of 531 and 527
Related Least Common Multiples of 527
Related Least Common Multiples of 531
Frequently Asked Questions on LCM of 527 and 531
1. What is the LCM of 527 and 531?
Answer: LCM of 527 and 531 is 279837.
2. What are the Factors of 527?
Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.
3. What are the Factors of 531?
Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.
4. How to Find the LCM of 527 and 531?
Answer:
Least Common Multiple of 527 and 531 = 279837
Step 1: Find the prime factorization of 527
527 = 17 x 31
Step 2: Find the prime factorization of 531
531 = 3 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 279837 = 3 x 3 x 17 x 31 x 59
Step 4: Therefore, the least common multiple of 527 and 531 is 279837.
