Least Common Multiple of 5524 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 5524 and 5530 the smallest integer that is 15273860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5524 and 5530 is 15273860.

LCM(5524,5530) = 15273860

LCM of 5524 and 5530

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

LCM of:
and

Least Common Multiple of 5524 and 5530

LCM of 5524 and 5530 is 15273860

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5530. First we will calculate the prime factors of 5524 and 5530.

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 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 5524 and 5530.

LCM(5524,5530) = 22×51×71×791×13811
LCM(5524,5530) = 15273860

Factors of 5524

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

1, 2, 4, 1381, 2762, 5524

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 5524 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 5524 and 5530, than apply into the LCM equation.

GCF(5524,5530) = 2
LCM(5524,5530) = ( 5524 × 5530) / 2
LCM(5524,5530) = 30547720 / 2
LCM(5524,5530) = 15273860

Properties of LCM 5524 and 5530

(i) The LCM of 5530 and 5524 is associative

LCM of 5524 and 5530 = LCM of 5530 and 5524

Related Least Common Multiples of 5524

Related Least Common Multiples of 5530

Frequently Asked Questions on LCM of 5524 and 5530

1. What is the LCM of 5524 and 5530?

Answer: LCM of 5524 and 5530 is 15273860.

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 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 5524 and 5530?

Answer:

Least Common Multiple of 5524 and 5530 = 15273860

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

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 = 15273860 = 2 x 2 x 5 x 7 x 79 x 1381

Step 4: Therefore, the least common multiple of 5524 and 5530 is 15273860.