Least Common Multiple of 5500 and 5505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5500 and 5505 the smallest integer that is 6055500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5500 and 5505 is 6055500.

LCM(5500,5505) = 6055500

LCM of 5500 and 5505

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

LCM of:
and

Least Common Multiple of 5500 and 5505

LCM of 5500 and 5505 is 6055500

Least common multiple can be found by multiplying the highest exponent prime factors of 5500 and 5505. First we will calculate the prime factors of 5500 and 5505.

Prime Factorization of 5500


2 5500
2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 5500 are 2, 5,11. Prime factorization of 5500 in exponential form is:

5500 = 22×53×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5500 and 5505.

LCM(5500,5505) = 22×31×53×111×3671
LCM(5500,5505) = 6055500

Factors of 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500

Factors of 5505

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

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

Least Common Multiple of 5500 and 5505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5500 and 5505, than apply into the LCM equation.

GCF(5500,5505) = 5
LCM(5500,5505) = ( 5500 × 5505) / 5
LCM(5500,5505) = 30277500 / 5
LCM(5500,5505) = 6055500

Properties of LCM 5500 and 5505

(i) The LCM of 5505 and 5500 is associative

LCM of 5500 and 5505 = LCM of 5505 and 5500

Related Least Common Multiples of 5500

Related Least Common Multiples of 5505

Frequently Asked Questions on LCM of 5500 and 5505

1. What is the LCM of 5500 and 5505?

Answer: LCM of 5500 and 5505 is 6055500.

2. What are the Factors of 5500?

Answer: Factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500. There are 24 integers that are factors of 5500. The greatest factor of 5500 is 5500.

3. 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.

4. How to Find the LCM of 5500 and 5505?

Answer:

Least Common Multiple of 5500 and 5505 = 6055500

Step 1: Find the prime factorization of 5500

5500 = 2 x 2 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 5505

5505 = 3 x 5 x 367

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

LCM = 6055500 = 2 x 2 x 3 x 5 x 5 x 5 x 11 x 367

Step 4: Therefore, the least common multiple of 5500 and 5505 is 6055500.