Least Common Multiple of 5616 and 5622

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 5622 the smallest integer that is 5262192 that is divisible by both numbers.

Least Common Multiple (LCM) of 5616 and 5622 is 5262192.

LCM(5616,5622) = 5262192

LCM of 5616 and 5622

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

LCM of:
and

Least Common Multiple of 5616 and 5622

LCM of 5616 and 5622 is 5262192

Least common multiple can be found by multiplying the highest exponent prime factors of 5616 and 5622. First we will calculate the prime factors of 5616 and 5622.

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 5622


2 5622
3 2811
937 937
1

Prime factors of 5622 are 2, 3,937. Prime factorization of 5622 in exponential form is:

5622 = 21×31×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 5616 and 5622.

LCM(5616,5622) = 24×33×131×9371
LCM(5616,5622) = 5262192

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 5622

List of positive integer factors of 5622 that divides 5622 without a remainder.

1, 2, 3, 6, 937, 1874, 2811, 5622

Least Common Multiple of 5616 and 5622 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 5622, than apply into the LCM equation.

GCF(5616,5622) = 6
LCM(5616,5622) = ( 5616 × 5622) / 6
LCM(5616,5622) = 31573152 / 6
LCM(5616,5622) = 5262192

Properties of LCM 5616 and 5622

(i) The LCM of 5622 and 5616 is associative

LCM of 5616 and 5622 = LCM of 5622 and 5616

Related Least Common Multiples of 5616

Related Least Common Multiples of 5622

Frequently Asked Questions on LCM of 5616 and 5622

1. What is the LCM of 5616 and 5622?

Answer: LCM of 5616 and 5622 is 5262192.

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 5622?

Answer: Factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622. There are 8 integers that are factors of 5622. The greatest factor of 5622 is 5622.

4. How to Find the LCM of 5616 and 5622?

Answer:

Least Common Multiple of 5616 and 5622 = 5262192

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 5622

5622 = 2 x 3 x 937

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

LCM = 5262192 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 937

Step 4: Therefore, the least common multiple of 5616 and 5622 is 5262192.