Least Common Multiple of 5613 and 5616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5613 and 5616 the smallest integer that is 10507536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5613 and 5616 is 10507536.

LCM(5613,5616) = 10507536

LCM of 5613 and 5616

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

LCM of:
and

Least Common Multiple of 5613 and 5616

LCM of 5613 and 5616 is 10507536

Least common multiple can be found by multiplying the highest exponent prime factors of 5613 and 5616. First we will calculate the prime factors of 5613 and 5616.

Prime Factorization of 5613


3 5613
1871 1871
1

Prime factors of 5613 are 3,1871. Prime factorization of 5613 in exponential form is:

5613 = 31×18711

Prime Factorization of 5616


2 5616
2 2808
2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 5616 are 2, 3,13. Prime factorization of 5616 in exponential form is:

5616 = 24×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5613 and 5616.

LCM(5613,5616) = 24×33×131×18711
LCM(5613,5616) = 10507536

Factors of 5613

List of positive integer factors of 5613 that divides 5613 without a remainder.

1, 3, 1871, 5613

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616

Least Common Multiple of 5613 and 5616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5613 and 5616, than apply into the LCM equation.

GCF(5613,5616) = 3
LCM(5613,5616) = ( 5613 × 5616) / 3
LCM(5613,5616) = 31522608 / 3
LCM(5613,5616) = 10507536

Properties of LCM 5613 and 5616

(i) The LCM of 5616 and 5613 is associative

LCM of 5613 and 5616 = LCM of 5616 and 5613

Related Least Common Multiples of 5613

Related Least Common Multiples of 5616

Frequently Asked Questions on LCM of 5613 and 5616

1. What is the LCM of 5613 and 5616?

Answer: LCM of 5613 and 5616 is 10507536.

2. What are the Factors of 5613?

Answer: Factors of 5613 are 1, 3, 1871, 5613. There are 4 integers that are factors of 5613. The greatest factor of 5613 is 5613.

3. What are the Factors of 5616?

Answer: Factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616. There are 40 integers that are factors of 5616. The greatest factor of 5616 is 5616.

4. How to Find the LCM of 5613 and 5616?

Answer:

Least Common Multiple of 5613 and 5616 = 10507536

Step 1: Find the prime factorization of 5613

5613 = 3 x 1871

Step 2: Find the prime factorization of 5616

5616 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13

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

LCM = 10507536 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 1871

Step 4: Therefore, the least common multiple of 5613 and 5616 is 10507536.