Least Common Multiple of 5500 and 5508

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 5508 the smallest integer that is 7573500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5500 and 5508 is 7573500.

LCM(5500,5508) = 7573500

LCM of 5500 and 5508

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

LCM of:
and

Least Common Multiple of 5500 and 5508

LCM of 5500 and 5508 is 7573500

Least common multiple can be found by multiplying the highest exponent prime factors of 5500 and 5508. First we will calculate the prime factors of 5500 and 5508.

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 5508


2 5508
2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 5508 are 2, 3,17. Prime factorization of 5508 in exponential form is:

5508 = 22×34×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5500 and 5508.

LCM(5500,5508) = 22×34×53×111×171
LCM(5500,5508) = 7573500

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 5508

List of positive integer factors of 5508 that divides 5508 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508

Least Common Multiple of 5500 and 5508 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 5508, than apply into the LCM equation.

GCF(5500,5508) = 4
LCM(5500,5508) = ( 5500 × 5508) / 4
LCM(5500,5508) = 30294000 / 4
LCM(5500,5508) = 7573500

Properties of LCM 5500 and 5508

(i) The LCM of 5508 and 5500 is associative

LCM of 5500 and 5508 = LCM of 5508 and 5500

Related Least Common Multiples of 5500

Related Least Common Multiples of 5508

Frequently Asked Questions on LCM of 5500 and 5508

1. What is the LCM of 5500 and 5508?

Answer: LCM of 5500 and 5508 is 7573500.

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 5508?

Answer: Factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508. There are 30 integers that are factors of 5508. The greatest factor of 5508 is 5508.

4. How to Find the LCM of 5500 and 5508?

Answer:

Least Common Multiple of 5500 and 5508 = 7573500

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 5508

5508 = 2 x 2 x 3 x 3 x 3 x 3 x 17

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

LCM = 7573500 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 5500 and 5508 is 7573500.