Least Common Multiple of 5531 and 5536

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 5536 the smallest integer that is 30619616 that is divisible by both numbers.

Least Common Multiple (LCM) of 5531 and 5536 is 30619616.

LCM(5531,5536) = 30619616

LCM of 5531 and 5536

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

LCM of:
and

Least Common Multiple of 5531 and 5536

LCM of 5531 and 5536 is 30619616

Least common multiple can be found by multiplying the highest exponent prime factors of 5531 and 5536. First we will calculate the prime factors of 5531 and 5536.

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 5536


2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 5536 are 2,173. Prime factorization of 5536 in exponential form is:

5536 = 25×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5531 and 5536.

LCM(5531,5536) = 25×1731×55311
LCM(5531,5536) = 30619616

Factors of 5531

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

1, 5531

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536

Least Common Multiple of 5531 and 5536 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 5536, than apply into the LCM equation.

GCF(5531,5536) = 1
LCM(5531,5536) = ( 5531 × 5536) / 1
LCM(5531,5536) = 30619616 / 1
LCM(5531,5536) = 30619616

Properties of LCM 5531 and 5536

(i) The LCM of 5536 and 5531 is associative

LCM of 5531 and 5536 = LCM of 5536 and 5531

Related Least Common Multiples of 5531

Related Least Common Multiples of 5536

Frequently Asked Questions on LCM of 5531 and 5536

1. What is the LCM of 5531 and 5536?

Answer: LCM of 5531 and 5536 is 30619616.

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 5536?

Answer: Factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536. There are 12 integers that are factors of 5536. The greatest factor of 5536 is 5536.

4. How to Find the LCM of 5531 and 5536?

Answer:

Least Common Multiple of 5531 and 5536 = 30619616

Step 1: Find the prime factorization of 5531

5531 = 5531

Step 2: Find the prime factorization of 5536

5536 = 2 x 2 x 2 x 2 x 2 x 173

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

LCM = 30619616 = 2 x 2 x 2 x 2 x 2 x 173 x 5531

Step 4: Therefore, the least common multiple of 5531 and 5536 is 30619616.