Least Common Multiple of 5505 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 5505 and 5510 the smallest integer that is 6066510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5505 and 5510 is 6066510.

LCM(5505,5510) = 6066510

LCM of 5505 and 5510

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

LCM of:
and

Least Common Multiple of 5505 and 5510

LCM of 5505 and 5510 is 6066510

Least common multiple can be found by multiplying the highest exponent prime factors of 5505 and 5510. First we will calculate the prime factors of 5505 and 5510.

Prime Factorization of 5505


3 5505
5 1835
367 367
1

Prime factors of 5505 are 3, 5,367. Prime factorization of 5505 in exponential form is:

5505 = 31×51×3671

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 5505 and 5510.

LCM(5505,5510) = 21×31×51×191×291×3671
LCM(5505,5510) = 6066510

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1, 3, 5, 15, 367, 1101, 1835, 5505

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 5505 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 5505 and 5510, than apply into the LCM equation.

GCF(5505,5510) = 5
LCM(5505,5510) = ( 5505 × 5510) / 5
LCM(5505,5510) = 30332550 / 5
LCM(5505,5510) = 6066510

Properties of LCM 5505 and 5510

(i) The LCM of 5510 and 5505 is associative

LCM of 5505 and 5510 = LCM of 5510 and 5505

Related Least Common Multiples of 5505

Related Least Common Multiples of 5510

Frequently Asked Questions on LCM of 5505 and 5510

1. What is the LCM of 5505 and 5510?

Answer: LCM of 5505 and 5510 is 6066510.

2. What are the Factors of 5505?

Answer: Factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505. There are 8 integers that are factors of 5505. The greatest factor of 5505 is 5505.

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 5505 and 5510?

Answer:

Least Common Multiple of 5505 and 5510 = 6066510

Step 1: Find the prime factorization of 5505

5505 = 3 x 5 x 367

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 = 6066510 = 2 x 3 x 5 x 19 x 29 x 367

Step 4: Therefore, the least common multiple of 5505 and 5510 is 6066510.