Least Common Multiple of 531 and 535

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 535 the smallest integer that is 284085 that is divisible by both numbers.

Least Common Multiple (LCM) of 531 and 535 is 284085.

LCM(531,535) = 284085

LCM of 531 and 535

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 531 and 535

LCM of 531 and 535 is 284085

Least common multiple can be found by multiplying the highest exponent prime factors of 531 and 535. First we will calculate the prime factors of 531 and 535.

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 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 531 and 535.

LCM(531,535) = 32×51×591×1071
LCM(531,535) = 284085

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Least Common Multiple of 531 and 535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 531 and 535, than apply into the LCM equation.

GCF(531,535) = 1
LCM(531,535) = ( 531 × 535) / 1
LCM(531,535) = 284085 / 1
LCM(531,535) = 284085

Properties of LCM 531 and 535

(i) The LCM of 535 and 531 is associative

LCM of 531 and 535 = LCM of 535 and 531

Related Least Common Multiples of 531

Related Least Common Multiples of 535

Frequently Asked Questions on LCM of 531 and 535

1. What is the LCM of 531 and 535?

Answer: LCM of 531 and 535 is 284085.

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 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 531 and 535?

Answer:

Least Common Multiple of 531 and 535 = 284085

Step 1: Find the prime factorization of 531

531 = 3 x 3 x 59

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 = 284085 = 3 x 3 x 5 x 59 x 107

Step 4: Therefore, the least common multiple of 531 and 535 is 284085.