Least Common Multiple of 5525 and 5531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5525 and 5531 the smallest integer that is 30558775 that is divisible by both numbers.

Least Common Multiple (LCM) of 5525 and 5531 is 30558775.

LCM(5525,5531) = 30558775

LCM of 5525 and 5531

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

LCM of:
and

Least Common Multiple of 5525 and 5531

LCM of 5525 and 5531 is 30558775

Least common multiple can be found by multiplying the highest exponent prime factors of 5525 and 5531. First we will calculate the prime factors of 5525 and 5531.

Prime Factorization of 5525


5 5525
5 1105
13 221
17 17
1

Prime factors of 5525 are 5, 13,17. Prime factorization of 5525 in exponential form is:

5525 = 52×131×171

Prime Factorization of 5531


5531 5531
1

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

5531 = 55311

Now multiplying the highest exponent prime factors to calculate the LCM of 5525 and 5531.

LCM(5525,5531) = 52×131×171×55311
LCM(5525,5531) = 30558775

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525

Factors of 5531

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

1, 5531

Least Common Multiple of 5525 and 5531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5525 and 5531, than apply into the LCM equation.

GCF(5525,5531) = 1
LCM(5525,5531) = ( 5525 × 5531) / 1
LCM(5525,5531) = 30558775 / 1
LCM(5525,5531) = 30558775

Properties of LCM 5525 and 5531

(i) The LCM of 5531 and 5525 is associative

LCM of 5525 and 5531 = LCM of 5531 and 5525

Related Least Common Multiples of 5525

Related Least Common Multiples of 5531

Frequently Asked Questions on LCM of 5525 and 5531

1. What is the LCM of 5525 and 5531?

Answer: LCM of 5525 and 5531 is 30558775.

2. What are the Factors of 5525?

Answer: Factors of 5525 are 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525. There are 12 integers that are factors of 5525. The greatest factor of 5525 is 5525.

3. 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.

4. How to Find the LCM of 5525 and 5531?

Answer:

Least Common Multiple of 5525 and 5531 = 30558775

Step 1: Find the prime factorization of 5525

5525 = 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 5531

5531 = 5531

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

LCM = 30558775 = 5 x 5 x 13 x 17 x 5531

Step 4: Therefore, the least common multiple of 5525 and 5531 is 30558775.