Least Common Multiple of 532 and 540

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 540 the smallest integer that is 71820 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 540 is 71820.

LCM(532,540) = 71820

LCM of 532 and 540

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

LCM of:
and

Least Common Multiple of 532 and 540

LCM of 532 and 540 is 71820

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 540. First we will calculate the prime factors of 532 and 540.

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 540


2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 540 are 2, 3,5. Prime factorization of 540 in exponential form is:

540 = 22×33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 532 and 540.

LCM(532,540) = 22×33×51×71×191
LCM(532,540) = 71820

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 540

List of positive integer factors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Least Common Multiple of 532 and 540 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 540, than apply into the LCM equation.

GCF(532,540) = 4
LCM(532,540) = ( 532 × 540) / 4
LCM(532,540) = 287280 / 4
LCM(532,540) = 71820

Properties of LCM 532 and 540

(i) The LCM of 540 and 532 is associative

LCM of 532 and 540 = LCM of 540 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 532 and 540

1. What is the LCM of 532 and 540?

Answer: LCM of 532 and 540 is 71820.

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 540?

Answer: Factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. There are 24 integers that are factors of 540. The greatest factor of 540 is 540.

4. How to Find the LCM of 532 and 540?

Answer:

Least Common Multiple of 532 and 540 = 71820

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 540

540 = 2 x 2 x 3 x 3 x 3 x 5

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

LCM = 71820 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 532 and 540 is 71820.