Least Common Multiple of 533 and 538
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 533 and 538 the smallest integer that is 286754 that is divisible by both numbers.
Least Common Multiple (LCM) of 533 and 538 is 286754.
LCM(533,538) = 286754
LCM of 533 and 538
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 533 and 538 by Prime method
- Least Common Multiple of 533 and 538 with GCF Formula
LCM of 533 and 538 is 286754
Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 538. First we will calculate the prime factors of 533 and 538.
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
Prime Factorization of 538
| 2 | 538 |
| 269 | 269 |
| 1 |
Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:
538 = 21×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 538.
LCM(533,538) = 21×131×411×2691
LCM(533,538) = 286754
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Least Common Multiple of 533 and 538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 533 and 538, than apply into the LCM equation.
GCF(533,538) = 1
LCM(533,538) = ( 533 × 538) / 1
LCM(533,538) = 286754 / 1
LCM(533,538) = 286754
Properties of LCM 533 and 538
(i) The LCM of 538 and 533 is associative
LCM of 533 and 538 = LCM of 538 and 533
Related Least Common Multiples of 533
Related Least Common Multiples of 538
Frequently Asked Questions on LCM of 533 and 538
1. What is the LCM of 533 and 538?
Answer: LCM of 533 and 538 is 286754.
2. 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.
3. What are the Factors of 538?
Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.
4. How to Find the LCM of 533 and 538?
Answer:
Least Common Multiple of 533 and 538 = 286754
Step 1: Find the prime factorization of 533
533 = 13 x 41
Step 2: Find the prime factorization of 538
538 = 2 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 286754 = 2 x 13 x 41 x 269
Step 4: Therefore, the least common multiple of 533 and 538 is 286754.