Least Common Multiple of 533 and 541

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 541 the smallest integer that is 288353 that is divisible by both numbers.

Least Common Multiple (LCM) of 533 and 541 is 288353.

LCM(533,541) = 288353

LCM of 533 and 541

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

LCM of:
and

Least Common Multiple of 533 and 541

LCM of 533 and 541 is 288353

Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 541. First we will calculate the prime factors of 533 and 541.

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 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 541.

LCM(533,541) = 131×411×5411
LCM(533,541) = 288353

Factors of 533

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

1, 13, 41, 533

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

Least Common Multiple of 533 and 541 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 541, than apply into the LCM equation.

GCF(533,541) = 1
LCM(533,541) = ( 533 × 541) / 1
LCM(533,541) = 288353 / 1
LCM(533,541) = 288353

Properties of LCM 533 and 541

(i) The LCM of 541 and 533 is associative

LCM of 533 and 541 = LCM of 541 and 533

Related Least Common Multiples of 533

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 533 and 541

1. What is the LCM of 533 and 541?

Answer: LCM of 533 and 541 is 288353.

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 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

4. How to Find the LCM of 533 and 541?

Answer:

Least Common Multiple of 533 and 541 = 288353

Step 1: Find the prime factorization of 533

533 = 13 x 41

Step 2: Find the prime factorization of 541

541 = 541

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

LCM = 288353 = 13 x 41 x 541

Step 4: Therefore, the least common multiple of 533 and 541 is 288353.