Least Common Multiple of 5524 and 5528

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 5528 the smallest integer that is 7634168 that is divisible by both numbers.

Least Common Multiple (LCM) of 5524 and 5528 is 7634168.

LCM(5524,5528) = 7634168

LCM of 5524 and 5528

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

LCM of:
and

Least Common Multiple of 5524 and 5528

LCM of 5524 and 5528 is 7634168

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5528. First we will calculate the prime factors of 5524 and 5528.

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 5528


2 5528
2 2764
2 1382
691 691
1

Prime factors of 5528 are 2,691. Prime factorization of 5528 in exponential form is:

5528 = 23×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5528.

LCM(5524,5528) = 23×6911×13811
LCM(5524,5528) = 7634168

Factors of 5524

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

1, 2, 4, 1381, 2762, 5524

Factors of 5528

List of positive integer factors of 5528 that divides 5528 without a remainder.

1, 2, 4, 8, 691, 1382, 2764, 5528

Least Common Multiple of 5524 and 5528 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 5528, than apply into the LCM equation.

GCF(5524,5528) = 4
LCM(5524,5528) = ( 5524 × 5528) / 4
LCM(5524,5528) = 30536672 / 4
LCM(5524,5528) = 7634168

Properties of LCM 5524 and 5528

(i) The LCM of 5528 and 5524 is associative

LCM of 5524 and 5528 = LCM of 5528 and 5524

Related Least Common Multiples of 5524

Related Least Common Multiples of 5528

Frequently Asked Questions on LCM of 5524 and 5528

1. What is the LCM of 5524 and 5528?

Answer: LCM of 5524 and 5528 is 7634168.

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 5528?

Answer: Factors of 5528 are 1, 2, 4, 8, 691, 1382, 2764, 5528. There are 8 integers that are factors of 5528. The greatest factor of 5528 is 5528.

4. How to Find the LCM of 5524 and 5528?

Answer:

Least Common Multiple of 5524 and 5528 = 7634168

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

Step 2: Find the prime factorization of 5528

5528 = 2 x 2 x 2 x 691

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

LCM = 7634168 = 2 x 2 x 2 x 691 x 1381

Step 4: Therefore, the least common multiple of 5524 and 5528 is 7634168.