Least Common Multiple of 532 and 538

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 538 the smallest integer that is 143108 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 538 is 143108.

LCM(532,538) = 143108

LCM of 532 and 538

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

LCM of:
and

Least Common Multiple of 532 and 538

LCM of 532 and 538 is 143108

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 538. First we will calculate the prime factors of 532 and 538.

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 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 532 and 538.

LCM(532,538) = 22×71×191×2691
LCM(532,538) = 143108

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 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Least Common Multiple of 532 and 538 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 538, than apply into the LCM equation.

GCF(532,538) = 2
LCM(532,538) = ( 532 × 538) / 2
LCM(532,538) = 286216 / 2
LCM(532,538) = 143108

Properties of LCM 532 and 538

(i) The LCM of 538 and 532 is associative

LCM of 532 and 538 = LCM of 538 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 538

Frequently Asked Questions on LCM of 532 and 538

1. What is the LCM of 532 and 538?

Answer: LCM of 532 and 538 is 143108.

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 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

4. How to Find the LCM of 532 and 538?

Answer:

Least Common Multiple of 532 and 538 = 143108

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 538

538 = 2 x 269

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

LCM = 143108 = 2 x 2 x 7 x 19 x 269

Step 4: Therefore, the least common multiple of 532 and 538 is 143108.