Least Common Multiple of 5516 and 5517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5516 and 5517 the smallest integer that is 30431772 that is divisible by both numbers.

Least Common Multiple (LCM) of 5516 and 5517 is 30431772.

LCM(5516,5517) = 30431772

LCM of 5516 and 5517

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

LCM of:
and

Least Common Multiple of 5516 and 5517

LCM of 5516 and 5517 is 30431772

Least common multiple can be found by multiplying the highest exponent prime factors of 5516 and 5517. First we will calculate the prime factors of 5516 and 5517.

Prime Factorization of 5516


2 5516
2 2758
7 1379
197 197
1

Prime factors of 5516 are 2, 7,197. Prime factorization of 5516 in exponential form is:

5516 = 22×71×1971

Prime Factorization of 5517


3 5517
3 1839
613 613
1

Prime factors of 5517 are 3,613. Prime factorization of 5517 in exponential form is:

5517 = 32×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 5516 and 5517.

LCM(5516,5517) = 22×32×71×1971×6131
LCM(5516,5517) = 30431772

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1, 3, 9, 613, 1839, 5517

Least Common Multiple of 5516 and 5517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5516 and 5517, than apply into the LCM equation.

GCF(5516,5517) = 1
LCM(5516,5517) = ( 5516 × 5517) / 1
LCM(5516,5517) = 30431772 / 1
LCM(5516,5517) = 30431772

Properties of LCM 5516 and 5517

(i) The LCM of 5517 and 5516 is associative

LCM of 5516 and 5517 = LCM of 5517 and 5516

Related Least Common Multiples of 5516

Related Least Common Multiples of 5517

Frequently Asked Questions on LCM of 5516 and 5517

1. What is the LCM of 5516 and 5517?

Answer: LCM of 5516 and 5517 is 30431772.

2. What are the Factors of 5516?

Answer: Factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. There are 12 integers that are factors of 5516. The greatest factor of 5516 is 5516.

3. What are the Factors of 5517?

Answer: Factors of 5517 are 1, 3, 9, 613, 1839, 5517. There are 6 integers that are factors of 5517. The greatest factor of 5517 is 5517.

4. How to Find the LCM of 5516 and 5517?

Answer:

Least Common Multiple of 5516 and 5517 = 30431772

Step 1: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

Step 2: Find the prime factorization of 5517

5517 = 3 x 3 x 613

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

LCM = 30431772 = 2 x 2 x 3 x 3 x 7 x 197 x 613

Step 4: Therefore, the least common multiple of 5516 and 5517 is 30431772.