Least Common Multiple of 527 and 530
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 530 the smallest integer that is 279310 that is divisible by both numbers.
Least Common Multiple (LCM) of 527 and 530 is 279310.
LCM(527,530) = 279310
LCM of 527 and 530
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 527 and 530 by Prime method
- Least Common Multiple of 527 and 530 with GCF Formula
LCM of 527 and 530 is 279310
Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 530. First we will calculate the prime factors of 527 and 530.
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 530
| 2 | 530 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:
530 = 21×51×531
Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 530.
LCM(527,530) = 21×51×171×311×531
LCM(527,530) = 279310
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Least Common Multiple of 527 and 530 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 530, than apply into the LCM equation.
GCF(527,530) = 1
LCM(527,530) = ( 527 × 530) / 1
LCM(527,530) = 279310 / 1
LCM(527,530) = 279310
Properties of LCM 527 and 530
(i) The LCM of 530 and 527 is associative
LCM of 527 and 530 = LCM of 530 and 527
Related Least Common Multiples of 527
Related Least Common Multiples of 530
Frequently Asked Questions on LCM of 527 and 530
1. What is the LCM of 527 and 530?
Answer: LCM of 527 and 530 is 279310.
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 530?
Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.
4. How to Find the LCM of 527 and 530?
Answer:
Least Common Multiple of 527 and 530 = 279310
Step 1: Find the prime factorization of 527
527 = 17 x 31
Step 2: Find the prime factorization of 530
530 = 2 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 279310 = 2 x 5 x 17 x 31 x 53
Step 4: Therefore, the least common multiple of 527 and 530 is 279310.
