Least Common Multiple of 5616 and 5621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5616 and 5621 the smallest integer that is 31567536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5616 and 5621 is 31567536.

LCM(5616,5621) = 31567536

LCM of 5616 and 5621

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

LCM of:
and

Least Common Multiple of 5616 and 5621

LCM of 5616 and 5621 is 31567536

Least common multiple can be found by multiplying the highest exponent prime factors of 5616 and 5621. First we will calculate the prime factors of 5616 and 5621.

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

Prime Factorization of 5621


7 5621
11 803
73 73
1

Prime factors of 5621 are 7, 11,73. Prime factorization of 5621 in exponential form is:

5621 = 71×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5616 and 5621.

LCM(5616,5621) = 24×33×71×111×131×731
LCM(5616,5621) = 31567536

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

Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1, 7, 11, 73, 77, 511, 803, 5621

Least Common Multiple of 5616 and 5621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5616 and 5621, than apply into the LCM equation.

GCF(5616,5621) = 1
LCM(5616,5621) = ( 5616 × 5621) / 1
LCM(5616,5621) = 31567536 / 1
LCM(5616,5621) = 31567536

Properties of LCM 5616 and 5621

(i) The LCM of 5621 and 5616 is associative

LCM of 5616 and 5621 = LCM of 5621 and 5616

Related Least Common Multiples of 5616

Related Least Common Multiples of 5621

Frequently Asked Questions on LCM of 5616 and 5621

1. What is the LCM of 5616 and 5621?

Answer: LCM of 5616 and 5621 is 31567536.

2. 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.

3. What are the Factors of 5621?

Answer: Factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621. There are 8 integers that are factors of 5621. The greatest factor of 5621 is 5621.

4. How to Find the LCM of 5616 and 5621?

Answer:

Least Common Multiple of 5616 and 5621 = 31567536

Step 1: Find the prime factorization of 5616

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

Step 2: Find the prime factorization of 5621

5621 = 7 x 11 x 73

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

LCM = 31567536 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 13 x 73

Step 4: Therefore, the least common multiple of 5616 and 5621 is 31567536.