Least Common Multiple of 533 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 533 and 540 the smallest integer that is 287820 that is divisible by both numbers.

Least Common Multiple (LCM) of 533 and 540 is 287820.

LCM(533,540) = 287820

LCM of 533 and 540

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

LCM of:
and

Least Common Multiple of 533 and 540

LCM of 533 and 540 is 287820

Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 540. First we will calculate the prime factors of 533 and 540.

Prime Factorization of 533


13 533
41 41
1

Prime factors of 533 are 13,41. Prime factorization of 533 in exponential form is:

533 = 131×411

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 533 and 540.

LCM(533,540) = 22×33×51×131×411
LCM(533,540) = 287820

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1, 13, 41, 533

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 533 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 533 and 540, than apply into the LCM equation.

GCF(533,540) = 1
LCM(533,540) = ( 533 × 540) / 1
LCM(533,540) = 287820 / 1
LCM(533,540) = 287820

Properties of LCM 533 and 540

(i) The LCM of 540 and 533 is associative

LCM of 533 and 540 = LCM of 540 and 533

Related Least Common Multiples of 533

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 533 and 540

1. What is the LCM of 533 and 540?

Answer: LCM of 533 and 540 is 287820.

2. What are the Factors of 533?

Answer: Factors of 533 are 1, 13, 41, 533. There are 4 integers that are factors of 533. The greatest factor of 533 is 533.

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 533 and 540?

Answer:

Least Common Multiple of 533 and 540 = 287820

Step 1: Find the prime factorization of 533

533 = 13 x 41

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 = 287820 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 41

Step 4: Therefore, the least common multiple of 533 and 540 is 287820.