Least Common Multiple of 532 and 536

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 536 the smallest integer that is 71288 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 536 is 71288.

LCM(532,536) = 71288

LCM of 532 and 536

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

LCM of:
and

Least Common Multiple of 532 and 536

LCM of 532 and 536 is 71288

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 536. First we will calculate the prime factors of 532 and 536.

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 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 532 and 536.

LCM(532,536) = 23×71×191×671
LCM(532,536) = 71288

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 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Least Common Multiple of 532 and 536 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 536, than apply into the LCM equation.

GCF(532,536) = 4
LCM(532,536) = ( 532 × 536) / 4
LCM(532,536) = 285152 / 4
LCM(532,536) = 71288

Properties of LCM 532 and 536

(i) The LCM of 536 and 532 is associative

LCM of 532 and 536 = LCM of 536 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 532 and 536

1. What is the LCM of 532 and 536?

Answer: LCM of 532 and 536 is 71288.

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 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 532 and 536?

Answer:

Least Common Multiple of 532 and 536 = 71288

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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 = 71288 = 2 x 2 x 2 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 532 and 536 is 71288.