Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 531 and 536 the smallest integer that is 284616 that is divisible by both numbers.
Least Common Multiple (LCM) of 531 and 536 is 284616.
LCM(531,536) = 284616
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 531 and 536. First we will calculate the prime factors of 531 and 536.
Prime Factorization of 531
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:
531 = 32×591
Prime Factorization of 536
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:
536 = 23×671
Now multiplying the highest exponent prime factors to calculate the LCM of 531 and 536.
LCM(531,536) = 23×32×591×671
LCM(531,536) = 284616
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 531 and 536, than apply into the LCM equation.
GCF(531,536) = 1
LCM(531,536) = ( 531 × 536) / 1
LCM(531,536) = 284616 / 1
LCM(531,536) = 284616
(i) The LCM of 536 and 531 is associative
LCM of 531 and 536 = LCM of 536 and 531
1. What is the LCM of 531 and 536?
Answer: LCM of 531 and 536 is 284616.
2. What are the Factors of 531?
Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.
3. What are the Factors of 536?
Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.
4. How to Find the LCM of 531 and 536?
Answer:
Least Common Multiple of 531 and 536 = 284616
Step 1: Find the prime factorization of 531
531 = 3 x 3 x 59
Step 2: Find the prime factorization of 536
536 = 2 x 2 x 2 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 284616 = 2 x 2 x 2 x 3 x 3 x 59 x 67
Step 4: Therefore, the least common multiple of 531 and 536 is 284616.