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 535 the smallest integer that is 285155 that is divisible by both numbers.
Least Common Multiple (LCM) of 533 and 535 is 285155.
LCM(533,535) = 285155
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 533 and 535. First we will calculate the prime factors of 533 and 535.
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 535
5 | 535 |
107 | 107 |
1 |
Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:
535 = 51×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 535.
LCM(533,535) = 51×131×411×1071
LCM(533,535) = 285155
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1, 5, 107, 535
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 533 and 535, than apply into the LCM equation.
GCF(533,535) = 1
LCM(533,535) = ( 533 × 535) / 1
LCM(533,535) = 285155 / 1
LCM(533,535) = 285155
(i) The LCM of 535 and 533 is associative
LCM of 533 and 535 = LCM of 535 and 533
1. What is the LCM of 533 and 535?
Answer: LCM of 533 and 535 is 285155.
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 535?
Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.
4. How to Find the LCM of 533 and 535?
Answer:
Least Common Multiple of 533 and 535 = 285155
Step 1: Find the prime factorization of 533
533 = 13 x 41
Step 2: Find the prime factorization of 535
535 = 5 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 285155 = 5 x 13 x 41 x 107
Step 4: Therefore, the least common multiple of 533 and 535 is 285155.