Least Common Multiple of 5560 and 5564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5560 and 5564 the smallest integer that is 7733960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5560 and 5564 is 7733960.

LCM(5560,5564) = 7733960

LCM of 5560 and 5564

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

LCM of:
and

Least Common Multiple of 5560 and 5564

LCM of 5560 and 5564 is 7733960

Least common multiple can be found by multiplying the highest exponent prime factors of 5560 and 5564. First we will calculate the prime factors of 5560 and 5564.

Prime Factorization of 5560


2 5560
2 2780
2 1390
5 695
139 139
1

Prime factors of 5560 are 2, 5,139. Prime factorization of 5560 in exponential form is:

5560 = 23×51×1391

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2, 13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5560 and 5564.

LCM(5560,5564) = 23×51×131×1071×1391
LCM(5560,5564) = 7733960

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

Least Common Multiple of 5560 and 5564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5560 and 5564, than apply into the LCM equation.

GCF(5560,5564) = 4
LCM(5560,5564) = ( 5560 × 5564) / 4
LCM(5560,5564) = 30935840 / 4
LCM(5560,5564) = 7733960

Properties of LCM 5560 and 5564

(i) The LCM of 5564 and 5560 is associative

LCM of 5560 and 5564 = LCM of 5564 and 5560

Related Least Common Multiples of 5560

Related Least Common Multiples of 5564

Frequently Asked Questions on LCM of 5560 and 5564

1. What is the LCM of 5560 and 5564?

Answer: LCM of 5560 and 5564 is 7733960.

2. What are the Factors of 5560?

Answer: Factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560. There are 16 integers that are factors of 5560. The greatest factor of 5560 is 5560.

3. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

4. How to Find the LCM of 5560 and 5564?

Answer:

Least Common Multiple of 5560 and 5564 = 7733960

Step 1: Find the prime factorization of 5560

5560 = 2 x 2 x 2 x 5 x 139

Step 2: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

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

LCM = 7733960 = 2 x 2 x 2 x 5 x 13 x 107 x 139

Step 4: Therefore, the least common multiple of 5560 and 5564 is 7733960.