Least Common Multiple of 5531 and 5535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5531 and 5535 the smallest integer that is 30614085 that is divisible by both numbers.

Least Common Multiple (LCM) of 5531 and 5535 is 30614085.

LCM(5531,5535) = 30614085

LCM of 5531 and 5535

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

LCM of:
and

Least Common Multiple of 5531 and 5535

LCM of 5531 and 5535 is 30614085

Least common multiple can be found by multiplying the highest exponent prime factors of 5531 and 5535. First we will calculate the prime factors of 5531 and 5535.

Prime Factorization of 5531


5531 5531
1

Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:

5531 = 55311

Prime Factorization of 5535


3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 5535 are 3, 5,41. Prime factorization of 5535 in exponential form is:

5535 = 33×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5531 and 5535.

LCM(5531,5535) = 33×51×411×55311
LCM(5531,5535) = 30614085

Factors of 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1, 5531

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535

Least Common Multiple of 5531 and 5535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5531 and 5535, than apply into the LCM equation.

GCF(5531,5535) = 1
LCM(5531,5535) = ( 5531 × 5535) / 1
LCM(5531,5535) = 30614085 / 1
LCM(5531,5535) = 30614085

Properties of LCM 5531 and 5535

(i) The LCM of 5535 and 5531 is associative

LCM of 5531 and 5535 = LCM of 5535 and 5531

Related Least Common Multiples of 5531

Related Least Common Multiples of 5535

Frequently Asked Questions on LCM of 5531 and 5535

1. What is the LCM of 5531 and 5535?

Answer: LCM of 5531 and 5535 is 30614085.

2. What are the Factors of 5531?

Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.

3. What are the Factors of 5535?

Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.

4. How to Find the LCM of 5531 and 5535?

Answer:

Least Common Multiple of 5531 and 5535 = 30614085

Step 1: Find the prime factorization of 5531

5531 = 5531

Step 2: Find the prime factorization of 5535

5535 = 3 x 3 x 3 x 5 x 41

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

LCM = 30614085 = 3 x 3 x 3 x 5 x 41 x 5531

Step 4: Therefore, the least common multiple of 5531 and 5535 is 30614085.