Least Common Multiple of 5608 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 5608 and 5616 the smallest integer that is 3936816 that is divisible by both numbers.

Least Common Multiple (LCM) of 5608 and 5616 is 3936816.

LCM(5608,5616) = 3936816

LCM of 5608 and 5616

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

LCM of:
and

Least Common Multiple of 5608 and 5616

LCM of 5608 and 5616 is 3936816

Least common multiple can be found by multiplying the highest exponent prime factors of 5608 and 5616. First we will calculate the prime factors of 5608 and 5616.

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

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 5608 and 5616.

LCM(5608,5616) = 24×33×131×7011
LCM(5608,5616) = 3936816

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1, 2, 4, 8, 701, 1402, 2804, 5608

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 5608 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 5608 and 5616, than apply into the LCM equation.

GCF(5608,5616) = 8
LCM(5608,5616) = ( 5608 × 5616) / 8
LCM(5608,5616) = 31494528 / 8
LCM(5608,5616) = 3936816

Properties of LCM 5608 and 5616

(i) The LCM of 5616 and 5608 is associative

LCM of 5608 and 5616 = LCM of 5616 and 5608

Related Least Common Multiples of 5608

Related Least Common Multiples of 5616

Frequently Asked Questions on LCM of 5608 and 5616

1. What is the LCM of 5608 and 5616?

Answer: LCM of 5608 and 5616 is 3936816.

2. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

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 5608 and 5616?

Answer:

Least Common Multiple of 5608 and 5616 = 3936816

Step 1: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

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 = 3936816 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 701

Step 4: Therefore, the least common multiple of 5608 and 5616 is 3936816.