Least Common Multiple of 525 and 533
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 533 the smallest integer that is 279825 that is divisible by both numbers.
Least Common Multiple (LCM) of 525 and 533 is 279825.
LCM(525,533) = 279825
LCM of 525 and 533
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 525 and 533 by Prime method
- Least Common Multiple of 525 and 533 with GCF Formula
LCM of 525 and 533 is 279825
Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 533. First we will calculate the prime factors of 525 and 533.
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 533
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 533 are 13,41. Prime factorization of 533 in exponential form is:
533 = 131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 525 and 533.
LCM(525,533) = 31×52×71×131×411
LCM(525,533) = 279825
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 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Least Common Multiple of 525 and 533 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 533, than apply into the LCM equation.
GCF(525,533) = 1
LCM(525,533) = ( 525 × 533) / 1
LCM(525,533) = 279825 / 1
LCM(525,533) = 279825
Properties of LCM 525 and 533
(i) The LCM of 533 and 525 is associative
LCM of 525 and 533 = LCM of 533 and 525
Related Least Common Multiples of 525
Related Least Common Multiples of 533
Frequently Asked Questions on LCM of 525 and 533
1. What is the LCM of 525 and 533?
Answer: LCM of 525 and 533 is 279825.
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 533?
Answer: Factors of 533 are 1, 13, 41, 533. There are 4 integers that are factors of 533. The greatest factor of 533 is 533.
4. How to Find the LCM of 525 and 533?
Answer:
Least Common Multiple of 525 and 533 = 279825
Step 1: Find the prime factorization of 525
525 = 3 x 5 x 5 x 7
Step 2: Find the prime factorization of 533
533 = 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 279825 = 3 x 5 x 5 x 7 x 13 x 41
Step 4: Therefore, the least common multiple of 525 and 533 is 279825.