Least Common Multiple of 5525 and 5530

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 5530 the smallest integer that is 6110650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5525 and 5530 is 6110650.

LCM(5525,5530) = 6110650

LCM of 5525 and 5530

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

LCM of:
and

Least Common Multiple of 5525 and 5530

LCM of 5525 and 5530 is 6110650

Least common multiple can be found by multiplying the highest exponent prime factors of 5525 and 5530. First we will calculate the prime factors of 5525 and 5530.

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 5530


2 5530
5 2765
7 553
79 79
1

Prime factors of 5530 are 2, 5, 7,79. Prime factorization of 5530 in exponential form is:

5530 = 21×51×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5525 and 5530.

LCM(5525,5530) = 21×52×71×131×171×791
LCM(5525,5530) = 6110650

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 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530

Least Common Multiple of 5525 and 5530 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 5530, than apply into the LCM equation.

GCF(5525,5530) = 5
LCM(5525,5530) = ( 5525 × 5530) / 5
LCM(5525,5530) = 30553250 / 5
LCM(5525,5530) = 6110650

Properties of LCM 5525 and 5530

(i) The LCM of 5530 and 5525 is associative

LCM of 5525 and 5530 = LCM of 5530 and 5525

Related Least Common Multiples of 5525

Related Least Common Multiples of 5530

Frequently Asked Questions on LCM of 5525 and 5530

1. What is the LCM of 5525 and 5530?

Answer: LCM of 5525 and 5530 is 6110650.

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 5530?

Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.

4. How to Find the LCM of 5525 and 5530?

Answer:

Least Common Multiple of 5525 and 5530 = 6110650

Step 1: Find the prime factorization of 5525

5525 = 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

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

LCM = 6110650 = 2 x 5 x 5 x 7 x 13 x 17 x 79

Step 4: Therefore, the least common multiple of 5525 and 5530 is 6110650.