Least Common Multiple of 5501 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 5501 and 5508 the smallest integer that is 30299508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5501 and 5508 is 30299508.

LCM(5501,5508) = 30299508

LCM of 5501 and 5508

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

LCM of:
and

Least Common Multiple of 5501 and 5508

LCM of 5501 and 5508 is 30299508

Least common multiple can be found by multiplying the highest exponent prime factors of 5501 and 5508. First we will calculate the prime factors of 5501 and 5508.

Prime Factorization of 5501


5501 5501
1

Prime factors of 5501 are 5501. Prime factorization of 5501 in exponential form is:

5501 = 55011

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 5501 and 5508.

LCM(5501,5508) = 22×34×171×55011
LCM(5501,5508) = 30299508

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1, 5501

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 5501 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 5501 and 5508, than apply into the LCM equation.

GCF(5501,5508) = 1
LCM(5501,5508) = ( 5501 × 5508) / 1
LCM(5501,5508) = 30299508 / 1
LCM(5501,5508) = 30299508

Properties of LCM 5501 and 5508

(i) The LCM of 5508 and 5501 is associative

LCM of 5501 and 5508 = LCM of 5508 and 5501

Related Least Common Multiples of 5501

Related Least Common Multiples of 5508

Frequently Asked Questions on LCM of 5501 and 5508

1. What is the LCM of 5501 and 5508?

Answer: LCM of 5501 and 5508 is 30299508.

2. What are the Factors of 5501?

Answer: Factors of 5501 are 1, 5501. There are 2 integers that are factors of 5501. The greatest factor of 5501 is 5501.

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 5501 and 5508?

Answer:

Least Common Multiple of 5501 and 5508 = 30299508

Step 1: Find the prime factorization of 5501

5501 = 5501

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 = 30299508 = 2 x 2 x 3 x 3 x 3 x 3 x 17 x 5501

Step 4: Therefore, the least common multiple of 5501 and 5508 is 30299508.