Least Common Multiple of 5533 and 5538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5533 and 5538 the smallest integer that is 30641754 that is divisible by both numbers.

Least Common Multiple (LCM) of 5533 and 5538 is 30641754.

LCM(5533,5538) = 30641754

LCM of 5533 and 5538

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

LCM of:
and

Least Common Multiple of 5533 and 5538

LCM of 5533 and 5538 is 30641754

Least common multiple can be found by multiplying the highest exponent prime factors of 5533 and 5538. First we will calculate the prime factors of 5533 and 5538.

Prime Factorization of 5533


11 5533
503 503
1

Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:

5533 = 111×5031

Prime Factorization of 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2, 3, 13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5533 and 5538.

LCM(5533,5538) = 21×31×111×131×711×5031
LCM(5533,5538) = 30641754

Factors of 5533

List of positive integer factors of 5533 that divides 5533 without a remainder.

1, 11, 503, 5533

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538

Least Common Multiple of 5533 and 5538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5533 and 5538, than apply into the LCM equation.

GCF(5533,5538) = 1
LCM(5533,5538) = ( 5533 × 5538) / 1
LCM(5533,5538) = 30641754 / 1
LCM(5533,5538) = 30641754

Properties of LCM 5533 and 5538

(i) The LCM of 5538 and 5533 is associative

LCM of 5533 and 5538 = LCM of 5538 and 5533

Related Least Common Multiples of 5533

Related Least Common Multiples of 5538

Frequently Asked Questions on LCM of 5533 and 5538

1. What is the LCM of 5533 and 5538?

Answer: LCM of 5533 and 5538 is 30641754.

2. What are the Factors of 5533?

Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.

3. What are the Factors of 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

4. How to Find the LCM of 5533 and 5538?

Answer:

Least Common Multiple of 5533 and 5538 = 30641754

Step 1: Find the prime factorization of 5533

5533 = 11 x 503

Step 2: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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

LCM = 30641754 = 2 x 3 x 11 x 13 x 71 x 503

Step 4: Therefore, the least common multiple of 5533 and 5538 is 30641754.