Least Common Multiple of 5553 and 5559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5553 and 5559 the smallest integer that is 10289709 that is divisible by both numbers.

Least Common Multiple (LCM) of 5553 and 5559 is 10289709.

LCM(5553,5559) = 10289709

LCM of 5553 and 5559

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

LCM of:
and

Least Common Multiple of 5553 and 5559

LCM of 5553 and 5559 is 10289709

Least common multiple can be found by multiplying the highest exponent prime factors of 5553 and 5559. First we will calculate the prime factors of 5553 and 5559.

Prime Factorization of 5553


3 5553
3 1851
617 617
1

Prime factors of 5553 are 3,617. Prime factorization of 5553 in exponential form is:

5553 = 32×6171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5553 and 5559.

LCM(5553,5559) = 32×171×1091×6171
LCM(5553,5559) = 10289709

Factors of 5553

List of positive integer factors of 5553 that divides 5553 without a remainder.

1, 3, 9, 617, 1851, 5553

Factors of 5559

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

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

Least Common Multiple of 5553 and 5559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5553 and 5559, than apply into the LCM equation.

GCF(5553,5559) = 3
LCM(5553,5559) = ( 5553 × 5559) / 3
LCM(5553,5559) = 30869127 / 3
LCM(5553,5559) = 10289709

Properties of LCM 5553 and 5559

(i) The LCM of 5559 and 5553 is associative

LCM of 5553 and 5559 = LCM of 5559 and 5553

Related Least Common Multiples of 5553

Related Least Common Multiples of 5559

Frequently Asked Questions on LCM of 5553 and 5559

1. What is the LCM of 5553 and 5559?

Answer: LCM of 5553 and 5559 is 10289709.

2. What are the Factors of 5553?

Answer: Factors of 5553 are 1, 3, 9, 617, 1851, 5553. There are 6 integers that are factors of 5553. The greatest factor of 5553 is 5553.

3. 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.

4. How to Find the LCM of 5553 and 5559?

Answer:

Least Common Multiple of 5553 and 5559 = 10289709

Step 1: Find the prime factorization of 5553

5553 = 3 x 3 x 617

Step 2: Find the prime factorization of 5559

5559 = 3 x 17 x 109

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

LCM = 10289709 = 3 x 3 x 17 x 109 x 617

Step 4: Therefore, the least common multiple of 5553 and 5559 is 10289709.