Least Common Multiple of 533 and 537
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 537 the smallest integer that is 286221 that is divisible by both numbers.
Least Common Multiple (LCM) of 533 and 537 is 286221.
LCM(533,537) = 286221
LCM of 533 and 537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 533 and 537 by Prime method
- Least Common Multiple of 533 and 537 with GCF Formula
LCM of 533 and 537 is 286221
Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 537. First we will calculate the prime factors of 533 and 537.
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 537
| 3 | 537 |
| 179 | 179 |
| 1 |
Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:
537 = 31×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 537.
LCM(533,537) = 31×131×411×1791
LCM(533,537) = 286221
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Least Common Multiple of 533 and 537 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 537, than apply into the LCM equation.
GCF(533,537) = 1
LCM(533,537) = ( 533 × 537) / 1
LCM(533,537) = 286221 / 1
LCM(533,537) = 286221
Properties of LCM 533 and 537
(i) The LCM of 537 and 533 is associative
LCM of 533 and 537 = LCM of 537 and 533
Related Least Common Multiples of 533
Related Least Common Multiples of 537
Frequently Asked Questions on LCM of 533 and 537
1. What is the LCM of 533 and 537?
Answer: LCM of 533 and 537 is 286221.
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 537?
Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.
4. How to Find the LCM of 533 and 537?
Answer:
Least Common Multiple of 533 and 537 = 286221
Step 1: Find the prime factorization of 533
533 = 13 x 41
Step 2: Find the prime factorization of 537
537 = 3 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 286221 = 3 x 13 x 41 x 179
Step 4: Therefore, the least common multiple of 533 and 537 is 286221.
