Least Common Multiple of 527 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 527 and 533 the smallest integer that is 280891 that is divisible by both numbers.
Least Common Multiple (LCM) of 527 and 533 is 280891.
LCM(527,533) = 280891
LCM of 527 and 533
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 527 and 533 by Prime method
- Least Common Multiple of 527 and 533 with GCF Formula
LCM of 527 and 533 is 280891
Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 533. First we will calculate the prime factors of 527 and 533.
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 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 527 and 533.
LCM(527,533) = 131×171×311×411
LCM(527,533) = 280891
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Least Common Multiple of 527 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 527 and 533, than apply into the LCM equation.
GCF(527,533) = 1
LCM(527,533) = ( 527 × 533) / 1
LCM(527,533) = 280891 / 1
LCM(527,533) = 280891
Properties of LCM 527 and 533
(i) The LCM of 533 and 527 is associative
LCM of 527 and 533 = LCM of 533 and 527
Related Least Common Multiples of 527
Related Least Common Multiples of 533
Frequently Asked Questions on LCM of 527 and 533
1. What is the LCM of 527 and 533?
Answer: LCM of 527 and 533 is 280891.
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 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 527 and 533?
Answer:
Least Common Multiple of 527 and 533 = 280891
Step 1: Find the prime factorization of 527
527 = 17 x 31
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 = 280891 = 13 x 17 x 31 x 41
Step 4: Therefore, the least common multiple of 527 and 533 is 280891.