Least Common Multiple of 532 and 539

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 539 the smallest integer that is 40964 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 539 is 40964.

LCM(532,539) = 40964

LCM of 532 and 539

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

LCM of:
and

Least Common Multiple of 532 and 539

LCM of 532 and 539 is 40964

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 539. First we will calculate the prime factors of 532 and 539.

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 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 532 and 539.

LCM(532,539) = 22×72×111×191
LCM(532,539) = 40964

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 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Least Common Multiple of 532 and 539 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 539, than apply into the LCM equation.

GCF(532,539) = 7
LCM(532,539) = ( 532 × 539) / 7
LCM(532,539) = 286748 / 7
LCM(532,539) = 40964

Properties of LCM 532 and 539

(i) The LCM of 539 and 532 is associative

LCM of 532 and 539 = LCM of 539 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 532 and 539

1. What is the LCM of 532 and 539?

Answer: LCM of 532 and 539 is 40964.

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 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

4. How to Find the LCM of 532 and 539?

Answer:

Least Common Multiple of 532 and 539 = 40964

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 539

539 = 7 x 7 x 11

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

LCM = 40964 = 2 x 2 x 7 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 532 and 539 is 40964.