Least Common Multiple of 5524 and 5525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5524 and 5525 the smallest integer that is 30520100 that is divisible by both numbers.

Least Common Multiple (LCM) of 5524 and 5525 is 30520100.

LCM(5524,5525) = 30520100

LCM of 5524 and 5525

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

LCM of:
and

Least Common Multiple of 5524 and 5525

LCM of 5524 and 5525 is 30520100

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5525. First we will calculate the prime factors of 5524 and 5525.

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5525.

LCM(5524,5525) = 22×52×131×171×13811
LCM(5524,5525) = 30520100

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762, 5524

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

Least Common Multiple of 5524 and 5525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5524 and 5525, than apply into the LCM equation.

GCF(5524,5525) = 1
LCM(5524,5525) = ( 5524 × 5525) / 1
LCM(5524,5525) = 30520100 / 1
LCM(5524,5525) = 30520100

Properties of LCM 5524 and 5525

(i) The LCM of 5525 and 5524 is associative

LCM of 5524 and 5525 = LCM of 5525 and 5524

Related Least Common Multiples of 5524

Related Least Common Multiples of 5525

Frequently Asked Questions on LCM of 5524 and 5525

1. What is the LCM of 5524 and 5525?

Answer: LCM of 5524 and 5525 is 30520100.

2. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

3. 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.

4. How to Find the LCM of 5524 and 5525?

Answer:

Least Common Multiple of 5524 and 5525 = 30520100

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

Step 2: Find the prime factorization of 5525

5525 = 5 x 5 x 13 x 17

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

LCM = 30520100 = 2 x 2 x 5 x 5 x 13 x 17 x 1381

Step 4: Therefore, the least common multiple of 5524 and 5525 is 30520100.