Least Common Multiple of 5521 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 5521 and 5528 the smallest integer that is 30520088 that is divisible by both numbers.

Least Common Multiple (LCM) of 5521 and 5528 is 30520088.

LCM(5521,5528) = 30520088

LCM of 5521 and 5528

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

LCM of:
and

Least Common Multiple of 5521 and 5528

LCM of 5521 and 5528 is 30520088

Least common multiple can be found by multiplying the highest exponent prime factors of 5521 and 5528. First we will calculate the prime factors of 5521 and 5528.

Prime Factorization of 5521


5521 5521
1

Prime factors of 5521 are 5521. Prime factorization of 5521 in exponential form is:

5521 = 55211

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 5521 and 5528.

LCM(5521,5528) = 23×6911×55211
LCM(5521,5528) = 30520088

Factors of 5521

List of positive integer factors of 5521 that divides 5521 without a remainder.

1, 5521

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 5521 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 5521 and 5528, than apply into the LCM equation.

GCF(5521,5528) = 1
LCM(5521,5528) = ( 5521 × 5528) / 1
LCM(5521,5528) = 30520088 / 1
LCM(5521,5528) = 30520088

Properties of LCM 5521 and 5528

(i) The LCM of 5528 and 5521 is associative

LCM of 5521 and 5528 = LCM of 5528 and 5521

Related Least Common Multiples of 5521

Related Least Common Multiples of 5528

Frequently Asked Questions on LCM of 5521 and 5528

1. What is the LCM of 5521 and 5528?

Answer: LCM of 5521 and 5528 is 30520088.

2. What are the Factors of 5521?

Answer: Factors of 5521 are 1, 5521. There are 2 integers that are factors of 5521. The greatest factor of 5521 is 5521.

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 5521 and 5528?

Answer:

Least Common Multiple of 5521 and 5528 = 30520088

Step 1: Find the prime factorization of 5521

5521 = 5521

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 = 30520088 = 2 x 2 x 2 x 691 x 5521

Step 4: Therefore, the least common multiple of 5521 and 5528 is 30520088.