Least Common Multiple of 532 and 537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 532 and 537 the smallest integer that is 285684 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 537 is 285684.

LCM(532,537) = 285684

LCM of 532 and 537

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

LCM of:
and

Least Common Multiple of 532 and 537

LCM of 532 and 537 is 285684

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 537. First we will calculate the prime factors of 532 and 537.

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2, 7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

Prime Factorization of 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 532 and 537.

LCM(532,537) = 22×31×71×191×1791
LCM(532,537) = 285684

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Least Common Multiple of 532 and 537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 532 and 537, than apply into the LCM equation.

GCF(532,537) = 1
LCM(532,537) = ( 532 × 537) / 1
LCM(532,537) = 285684 / 1
LCM(532,537) = 285684

Properties of LCM 532 and 537

(i) The LCM of 537 and 532 is associative

LCM of 532 and 537 = LCM of 537 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 537

Frequently Asked Questions on LCM of 532 and 537

1. What is the LCM of 532 and 537?

Answer: LCM of 532 and 537 is 285684.

2. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

3. What are the Factors of 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

4. How to Find the LCM of 532 and 537?

Answer:

Least Common Multiple of 532 and 537 = 285684

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 537

537 = 3 x 179

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 285684 = 2 x 2 x 3 x 7 x 19 x 179

Step 4: Therefore, the least common multiple of 532 and 537 is 285684.