Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 528 and 533 the smallest integer that is 281424 that is divisible by both numbers.
Least Common Multiple (LCM) of 528 and 533 is 281424.
LCM(528,533) = 281424
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 533. First we will calculate the prime factors of 528 and 533.
Prime Factorization of 528
2 | 528 |
2 | 264 |
2 | 132 |
2 | 66 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:
528 = 24×31×111
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 528 and 533.
LCM(528,533) = 24×31×111×131×411
LCM(528,533) = 281424
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 533, than apply into the LCM equation.
GCF(528,533) = 1
LCM(528,533) = ( 528 × 533) / 1
LCM(528,533) = 281424 / 1
LCM(528,533) = 281424
(i) The LCM of 533 and 528 is associative
LCM of 528 and 533 = LCM of 533 and 528
1. What is the LCM of 528 and 533?
Answer: LCM of 528 and 533 is 281424.
2. What are the Factors of 528?
Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.
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 528 and 533?
Answer:
Least Common Multiple of 528 and 533 = 281424
Step 1: Find the prime factorization of 528
528 = 2 x 2 x 2 x 2 x 3 x 11
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 = 281424 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 41
Step 4: Therefore, the least common multiple of 528 and 533 is 281424.