Least Common Multiple of 525 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 525 and 530 the smallest integer that is 55650 that is divisible by both numbers.
Least Common Multiple (LCM) of 525 and 530 is 55650.
LCM(525,530) = 55650
LCM of 525 and 530
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 525 and 530 by Prime method
- Least Common Multiple of 525 and 530 with GCF Formula
LCM of 525 and 530 is 55650
Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 530. First we will calculate the prime factors of 525 and 530.
Prime Factorization of 525
| 3 | 525 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:
525 = 31×52×71
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 525 and 530.
LCM(525,530) = 21×31×52×71×531
LCM(525,530) = 55650
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
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 525 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 525 and 530, than apply into the LCM equation.
GCF(525,530) = 5
LCM(525,530) = ( 525 × 530) / 5
LCM(525,530) = 278250 / 5
LCM(525,530) = 55650
Properties of LCM 525 and 530
(i) The LCM of 530 and 525 is associative
LCM of 525 and 530 = LCM of 530 and 525
Related Least Common Multiples of 525
Related Least Common Multiples of 530
Frequently Asked Questions on LCM of 525 and 530
1. What is the LCM of 525 and 530?
Answer: LCM of 525 and 530 is 55650.
2. What are the Factors of 525?
Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.
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 525 and 530?
Answer:
Least Common Multiple of 525 and 530 = 55650
Step 1: Find the prime factorization of 525
525 = 3 x 5 x 5 x 7
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 = 55650 = 2 x 3 x 5 x 5 x 7 x 53
Step 4: Therefore, the least common multiple of 525 and 530 is 55650.
