Least Common Multiple of 5517 and 5524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5517 and 5524 the smallest integer that is 30475908 that is divisible by both numbers.

Least Common Multiple (LCM) of 5517 and 5524 is 30475908.

LCM(5517,5524) = 30475908

LCM of 5517 and 5524

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

LCM of:
and

Least Common Multiple of 5517 and 5524

LCM of 5517 and 5524 is 30475908

Least common multiple can be found by multiplying the highest exponent prime factors of 5517 and 5524. First we will calculate the prime factors of 5517 and 5524.

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

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 5517 and 5524.

LCM(5517,5524) = 22×32×6131×13811
LCM(5517,5524) = 30475908

Factors of 5517

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

1, 3, 9, 613, 1839, 5517

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762, 5524

Least Common Multiple of 5517 and 5524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5517 and 5524, than apply into the LCM equation.

GCF(5517,5524) = 1
LCM(5517,5524) = ( 5517 × 5524) / 1
LCM(5517,5524) = 30475908 / 1
LCM(5517,5524) = 30475908

Properties of LCM 5517 and 5524

(i) The LCM of 5524 and 5517 is associative

LCM of 5517 and 5524 = LCM of 5524 and 5517

Related Least Common Multiples of 5517

Related Least Common Multiples of 5524

Frequently Asked Questions on LCM of 5517 and 5524

1. What is the LCM of 5517 and 5524?

Answer: LCM of 5517 and 5524 is 30475908.

2. 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.

3. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

4. How to Find the LCM of 5517 and 5524?

Answer:

Least Common Multiple of 5517 and 5524 = 30475908

Step 1: Find the prime factorization of 5517

5517 = 3 x 3 x 613

Step 2: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

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

LCM = 30475908 = 2 x 2 x 3 x 3 x 613 x 1381

Step 4: Therefore, the least common multiple of 5517 and 5524 is 30475908.