Least Common Multiple of 5526 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 5526 and 5533 the smallest integer that is 30575358 that is divisible by both numbers.

Least Common Multiple (LCM) of 5526 and 5533 is 30575358.

LCM(5526,5533) = 30575358

LCM of 5526 and 5533

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

LCM of:
and

Least Common Multiple of 5526 and 5533

LCM of 5526 and 5533 is 30575358

Least common multiple can be found by multiplying the highest exponent prime factors of 5526 and 5533. First we will calculate the prime factors of 5526 and 5533.

Prime Factorization of 5526


2 5526
3 2763
3 921
307 307
1

Prime factors of 5526 are 2, 3,307. Prime factorization of 5526 in exponential form is:

5526 = 21×32×3071

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 5526 and 5533.

LCM(5526,5533) = 21×32×111×3071×5031
LCM(5526,5533) = 30575358

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526

Factors of 5533

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

1, 11, 503, 5533

Least Common Multiple of 5526 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 5526 and 5533, than apply into the LCM equation.

GCF(5526,5533) = 1
LCM(5526,5533) = ( 5526 × 5533) / 1
LCM(5526,5533) = 30575358 / 1
LCM(5526,5533) = 30575358

Properties of LCM 5526 and 5533

(i) The LCM of 5533 and 5526 is associative

LCM of 5526 and 5533 = LCM of 5533 and 5526

Related Least Common Multiples of 5526

Related Least Common Multiples of 5533

Frequently Asked Questions on LCM of 5526 and 5533

1. What is the LCM of 5526 and 5533?

Answer: LCM of 5526 and 5533 is 30575358.

2. What are the Factors of 5526?

Answer: Factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526. There are 12 integers that are factors of 5526. The greatest factor of 5526 is 5526.

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 5526 and 5533?

Answer:

Least Common Multiple of 5526 and 5533 = 30575358

Step 1: Find the prime factorization of 5526

5526 = 2 x 3 x 3 x 307

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 = 30575358 = 2 x 3 x 3 x 11 x 307 x 503

Step 4: Therefore, the least common multiple of 5526 and 5533 is 30575358.