Least Common Multiple of 5528 and 5533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5528 and 5533 the smallest integer that is 30586424 that is divisible by both numbers.

Least Common Multiple (LCM) of 5528 and 5533 is 30586424.

LCM(5528,5533) = 30586424

LCM of 5528 and 5533

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

LCM of:
and

Least Common Multiple of 5528 and 5533

LCM of 5528 and 5533 is 30586424

Least common multiple can be found by multiplying the highest exponent prime factors of 5528 and 5533. First we will calculate the prime factors of 5528 and 5533.

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

Prime Factorization of 5533


11 5533
503 503
1

Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:

5533 = 111×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 5528 and 5533.

LCM(5528,5533) = 23×111×5031×6911
LCM(5528,5533) = 30586424

Factors of 5528

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

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

Factors of 5533

List of positive integer factors of 5533 that divides 5533 without a remainder.

1, 11, 503, 5533

Least Common Multiple of 5528 and 5533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5528 and 5533, than apply into the LCM equation.

GCF(5528,5533) = 1
LCM(5528,5533) = ( 5528 × 5533) / 1
LCM(5528,5533) = 30586424 / 1
LCM(5528,5533) = 30586424

Properties of LCM 5528 and 5533

(i) The LCM of 5533 and 5528 is associative

LCM of 5528 and 5533 = LCM of 5533 and 5528

Related Least Common Multiples of 5528

Related Least Common Multiples of 5533

Frequently Asked Questions on LCM of 5528 and 5533

1. What is the LCM of 5528 and 5533?

Answer: LCM of 5528 and 5533 is 30586424.

2. 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.

3. What are the Factors of 5533?

Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.

4. How to Find the LCM of 5528 and 5533?

Answer:

Least Common Multiple of 5528 and 5533 = 30586424

Step 1: Find the prime factorization of 5528

5528 = 2 x 2 x 2 x 691

Step 2: Find the prime factorization of 5533

5533 = 11 x 503

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

LCM = 30586424 = 2 x 2 x 2 x 11 x 503 x 691

Step 4: Therefore, the least common multiple of 5528 and 5533 is 30586424.