Least Common Multiple of 526 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 526 and 533 the smallest integer that is 280358 that is divisible by both numbers.
Least Common Multiple (LCM) of 526 and 533 is 280358.
LCM(526,533) = 280358
LCM of 526 and 533
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 526 and 533 by Prime method
- Least Common Multiple of 526 and 533 with GCF Formula
LCM of 526 and 533 is 280358
Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 533. First we will calculate the prime factors of 526 and 533.
Prime Factorization of 526
| 2 | 526 |
| 263 | 263 |
| 1 |
Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:
526 = 21×2631
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 526 and 533.
LCM(526,533) = 21×131×411×2631
LCM(526,533) = 280358
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Least Common Multiple of 526 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 526 and 533, than apply into the LCM equation.
GCF(526,533) = 1
LCM(526,533) = ( 526 × 533) / 1
LCM(526,533) = 280358 / 1
LCM(526,533) = 280358
Properties of LCM 526 and 533
(i) The LCM of 533 and 526 is associative
LCM of 526 and 533 = LCM of 533 and 526
Related Least Common Multiples of 526
Related Least Common Multiples of 533
Frequently Asked Questions on LCM of 526 and 533
1. What is the LCM of 526 and 533?
Answer: LCM of 526 and 533 is 280358.
2. What are the Factors of 526?
Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.
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 526 and 533?
Answer:
Least Common Multiple of 526 and 533 = 280358
Step 1: Find the prime factorization of 526
526 = 2 x 263
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 = 280358 = 2 x 13 x 41 x 263
Step 4: Therefore, the least common multiple of 526 and 533 is 280358.