Least Common Multiple of 5611 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 5611 and 5616 the smallest integer that is 31511376 that is divisible by both numbers.

Least Common Multiple (LCM) of 5611 and 5616 is 31511376.

LCM(5611,5616) = 31511376

LCM of 5611 and 5616

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

LCM of:
and

Least Common Multiple of 5611 and 5616

LCM of 5611 and 5616 is 31511376

Least common multiple can be found by multiplying the highest exponent prime factors of 5611 and 5616. First we will calculate the prime factors of 5611 and 5616.

Prime Factorization of 5611


31 5611
181 181
1

Prime factors of 5611 are 31,181. Prime factorization of 5611 in exponential form is:

5611 = 311×1811

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 5611 and 5616.

LCM(5611,5616) = 24×33×131×311×1811
LCM(5611,5616) = 31511376

Factors of 5611

List of positive integer factors of 5611 that divides 5611 without a remainder.

1, 31, 181, 5611

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 5611 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 5611 and 5616, than apply into the LCM equation.

GCF(5611,5616) = 1
LCM(5611,5616) = ( 5611 × 5616) / 1
LCM(5611,5616) = 31511376 / 1
LCM(5611,5616) = 31511376

Properties of LCM 5611 and 5616

(i) The LCM of 5616 and 5611 is associative

LCM of 5611 and 5616 = LCM of 5616 and 5611

Related Least Common Multiples of 5611

Related Least Common Multiples of 5616

Frequently Asked Questions on LCM of 5611 and 5616

1. What is the LCM of 5611 and 5616?

Answer: LCM of 5611 and 5616 is 31511376.

2. What are the Factors of 5611?

Answer: Factors of 5611 are 1, 31, 181, 5611. There are 4 integers that are factors of 5611. The greatest factor of 5611 is 5611.

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 5611 and 5616?

Answer:

Least Common Multiple of 5611 and 5616 = 31511376

Step 1: Find the prime factorization of 5611

5611 = 31 x 181

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 = 31511376 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 31 x 181

Step 4: Therefore, the least common multiple of 5611 and 5616 is 31511376.