Least Common Multiple of 5506 and 5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5506 and 5511 the smallest integer that is 30343566 that is divisible by both numbers.

Least Common Multiple (LCM) of 5506 and 5511 is 30343566.

LCM(5506,5511) = 30343566

LCM of 5506 and 5511

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

LCM of:
and

Least Common Multiple of 5506 and 5511

LCM of 5506 and 5511 is 30343566

Least common multiple can be found by multiplying the highest exponent prime factors of 5506 and 5511. First we will calculate the prime factors of 5506 and 5511.

Prime Factorization of 5506


2 5506
2753 2753
1

Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:

5506 = 21×27531

Prime Factorization of 5511


3 5511
11 1837
167 167
1

Prime factors of 5511 are 3, 11,167. Prime factorization of 5511 in exponential form is:

5511 = 31×111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5506 and 5511.

LCM(5506,5511) = 21×31×111×1671×27531
LCM(5506,5511) = 30343566

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1, 2, 2753, 5506

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1, 3, 11, 33, 167, 501, 1837, 5511

Least Common Multiple of 5506 and 5511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5506 and 5511, than apply into the LCM equation.

GCF(5506,5511) = 1
LCM(5506,5511) = ( 5506 × 5511) / 1
LCM(5506,5511) = 30343566 / 1
LCM(5506,5511) = 30343566

Properties of LCM 5506 and 5511

(i) The LCM of 5511 and 5506 is associative

LCM of 5506 and 5511 = LCM of 5511 and 5506

Related Least Common Multiples of 5506

Related Least Common Multiples of 5511

Frequently Asked Questions on LCM of 5506 and 5511

1. What is the LCM of 5506 and 5511?

Answer: LCM of 5506 and 5511 is 30343566.

2. What are the Factors of 5506?

Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.

3. What are the Factors of 5511?

Answer: Factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511. There are 8 integers that are factors of 5511. The greatest factor of 5511 is 5511.

4. How to Find the LCM of 5506 and 5511?

Answer:

Least Common Multiple of 5506 and 5511 = 30343566

Step 1: Find the prime factorization of 5506

5506 = 2 x 2753

Step 2: Find the prime factorization of 5511

5511 = 3 x 11 x 167

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

LCM = 30343566 = 2 x 3 x 11 x 167 x 2753

Step 4: Therefore, the least common multiple of 5506 and 5511 is 30343566.