Least Common Multiple of 5559 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 5559 and 5564 the smallest integer that is 30930276 that is divisible by both numbers.

Least Common Multiple (LCM) of 5559 and 5564 is 30930276.

LCM(5559,5564) = 30930276

LCM of 5559 and 5564

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

LCM of:
and

Least Common Multiple of 5559 and 5564

LCM of 5559 and 5564 is 30930276

Least common multiple can be found by multiplying the highest exponent prime factors of 5559 and 5564. First we will calculate the prime factors of 5559 and 5564.

Prime Factorization of 5559


3 5559
17 1853
109 109
1

Prime factors of 5559 are 3, 17,109. Prime factorization of 5559 in exponential form is:

5559 = 31×171×1091

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 5559 and 5564.

LCM(5559,5564) = 22×31×131×171×1071×1091
LCM(5559,5564) = 30930276

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1, 3, 17, 51, 109, 327, 1853, 5559

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 5559 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 5559 and 5564, than apply into the LCM equation.

GCF(5559,5564) = 1
LCM(5559,5564) = ( 5559 × 5564) / 1
LCM(5559,5564) = 30930276 / 1
LCM(5559,5564) = 30930276

Properties of LCM 5559 and 5564

(i) The LCM of 5564 and 5559 is associative

LCM of 5559 and 5564 = LCM of 5564 and 5559

Related Least Common Multiples of 5559

Related Least Common Multiples of 5564

Frequently Asked Questions on LCM of 5559 and 5564

1. What is the LCM of 5559 and 5564?

Answer: LCM of 5559 and 5564 is 30930276.

2. What are the Factors of 5559?

Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.

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 5559 and 5564?

Answer:

Least Common Multiple of 5559 and 5564 = 30930276

Step 1: Find the prime factorization of 5559

5559 = 3 x 17 x 109

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 = 30930276 = 2 x 2 x 3 x 13 x 17 x 107 x 109

Step 4: Therefore, the least common multiple of 5559 and 5564 is 30930276.