Least Common Multiple of 5504 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 5504 and 5508 the smallest integer that is 7579008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5504 and 5508 is 7579008.

LCM(5504,5508) = 7579008

LCM of 5504 and 5508

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

LCM of:
and

Least Common Multiple of 5504 and 5508

LCM of 5504 and 5508 is 7579008

Least common multiple can be found by multiplying the highest exponent prime factors of 5504 and 5508. First we will calculate the prime factors of 5504 and 5508.

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

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 5504 and 5508.

LCM(5504,5508) = 27×34×171×431
LCM(5504,5508) = 7579008

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504

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 5504 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 5504 and 5508, than apply into the LCM equation.

GCF(5504,5508) = 4
LCM(5504,5508) = ( 5504 × 5508) / 4
LCM(5504,5508) = 30316032 / 4
LCM(5504,5508) = 7579008

Properties of LCM 5504 and 5508

(i) The LCM of 5508 and 5504 is associative

LCM of 5504 and 5508 = LCM of 5508 and 5504

Related Least Common Multiples of 5504

Related Least Common Multiples of 5508

Frequently Asked Questions on LCM of 5504 and 5508

1. What is the LCM of 5504 and 5508?

Answer: LCM of 5504 and 5508 is 7579008.

2. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

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 5504 and 5508?

Answer:

Least Common Multiple of 5504 and 5508 = 7579008

Step 1: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

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 = 7579008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 43

Step 4: Therefore, the least common multiple of 5504 and 5508 is 7579008.