Least Common Multiple of 5500 and 5507

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 5507 the smallest integer that is 30288500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5500 and 5507 is 30288500.

LCM(5500,5507) = 30288500

LCM of 5500 and 5507

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

LCM of:
and

Least Common Multiple of 5500 and 5507

LCM of 5500 and 5507 is 30288500

Least common multiple can be found by multiplying the highest exponent prime factors of 5500 and 5507. First we will calculate the prime factors of 5500 and 5507.

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 5507


5507 5507
1

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 5500 and 5507.

LCM(5500,5507) = 22×53×111×55071
LCM(5500,5507) = 30288500

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 5507

List of positive integer factors of 5507 that divides 5507 without a remainder.

1, 5507

Least Common Multiple of 5500 and 5507 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 5507, than apply into the LCM equation.

GCF(5500,5507) = 1
LCM(5500,5507) = ( 5500 × 5507) / 1
LCM(5500,5507) = 30288500 / 1
LCM(5500,5507) = 30288500

Properties of LCM 5500 and 5507

(i) The LCM of 5507 and 5500 is associative

LCM of 5500 and 5507 = LCM of 5507 and 5500

Related Least Common Multiples of 5500

Related Least Common Multiples of 5507

Frequently Asked Questions on LCM of 5500 and 5507

1. What is the LCM of 5500 and 5507?

Answer: LCM of 5500 and 5507 is 30288500.

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 5507?

Answer: Factors of 5507 are 1, 5507. There are 2 integers that are factors of 5507. The greatest factor of 5507 is 5507.

4. How to Find the LCM of 5500 and 5507?

Answer:

Least Common Multiple of 5500 and 5507 = 30288500

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 5507

5507 = 5507

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

LCM = 30288500 = 2 x 2 x 5 x 5 x 5 x 11 x 5507

Step 4: Therefore, the least common multiple of 5500 and 5507 is 30288500.