Least Common Multiple of 5508 and 5513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5508 and 5513 the smallest integer that is 30365604 that is divisible by both numbers.

Least Common Multiple (LCM) of 5508 and 5513 is 30365604.

LCM(5508,5513) = 30365604

LCM of 5508 and 5513

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

LCM of:
and

Least Common Multiple of 5508 and 5513

LCM of 5508 and 5513 is 30365604

Least common multiple can be found by multiplying the highest exponent prime factors of 5508 and 5513. First we will calculate the prime factors of 5508 and 5513.

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

Prime Factorization of 5513


37 5513
149 149
1

Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:

5513 = 371×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5508 and 5513.

LCM(5508,5513) = 22×34×171×371×1491
LCM(5508,5513) = 30365604

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

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1, 37, 149, 5513

Least Common Multiple of 5508 and 5513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5508 and 5513, than apply into the LCM equation.

GCF(5508,5513) = 1
LCM(5508,5513) = ( 5508 × 5513) / 1
LCM(5508,5513) = 30365604 / 1
LCM(5508,5513) = 30365604

Properties of LCM 5508 and 5513

(i) The LCM of 5513 and 5508 is associative

LCM of 5508 and 5513 = LCM of 5513 and 5508

Related Least Common Multiples of 5508

Related Least Common Multiples of 5513

Frequently Asked Questions on LCM of 5508 and 5513

1. What is the LCM of 5508 and 5513?

Answer: LCM of 5508 and 5513 is 30365604.

2. 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.

3. What are the Factors of 5513?

Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.

4. How to Find the LCM of 5508 and 5513?

Answer:

Least Common Multiple of 5508 and 5513 = 30365604

Step 1: Find the prime factorization of 5508

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

Step 2: Find the prime factorization of 5513

5513 = 37 x 149

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

LCM = 30365604 = 2 x 2 x 3 x 3 x 3 x 3 x 17 x 37 x 149

Step 4: Therefore, the least common multiple of 5508 and 5513 is 30365604.