Least Common Multiple of 5506 and 5510

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 5510 the smallest integer that is 15169030 that is divisible by both numbers.

Least Common Multiple (LCM) of 5506 and 5510 is 15169030.

LCM(5506,5510) = 15169030

LCM of 5506 and 5510

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

LCM of:
and

Least Common Multiple of 5506 and 5510

LCM of 5506 and 5510 is 15169030

Least common multiple can be found by multiplying the highest exponent prime factors of 5506 and 5510. First we will calculate the prime factors of 5506 and 5510.

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 5510


2 5510
5 2755
19 551
29 29
1

Prime factors of 5510 are 2, 5, 19,29. Prime factorization of 5510 in exponential form is:

5510 = 21×51×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5506 and 5510.

LCM(5506,5510) = 21×51×191×291×27531
LCM(5506,5510) = 15169030

Factors of 5506

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

1, 2, 2753, 5506

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

Least Common Multiple of 5506 and 5510 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 5510, than apply into the LCM equation.

GCF(5506,5510) = 2
LCM(5506,5510) = ( 5506 × 5510) / 2
LCM(5506,5510) = 30338060 / 2
LCM(5506,5510) = 15169030

Properties of LCM 5506 and 5510

(i) The LCM of 5510 and 5506 is associative

LCM of 5506 and 5510 = LCM of 5510 and 5506

Related Least Common Multiples of 5506

Related Least Common Multiples of 5510

Frequently Asked Questions on LCM of 5506 and 5510

1. What is the LCM of 5506 and 5510?

Answer: LCM of 5506 and 5510 is 15169030.

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 5510?

Answer: Factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510. There are 16 integers that are factors of 5510. The greatest factor of 5510 is 5510.

4. How to Find the LCM of 5506 and 5510?

Answer:

Least Common Multiple of 5506 and 5510 = 15169030

Step 1: Find the prime factorization of 5506

5506 = 2 x 2753

Step 2: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

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

LCM = 15169030 = 2 x 5 x 19 x 29 x 2753

Step 4: Therefore, the least common multiple of 5506 and 5510 is 15169030.