Least Common Multiple of 5553 and 5558

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 5558 the smallest integer that is 30863574 that is divisible by both numbers.

Least Common Multiple (LCM) of 5553 and 5558 is 30863574.

LCM(5553,5558) = 30863574

LCM of 5553 and 5558

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

LCM of:
and

Least Common Multiple of 5553 and 5558

LCM of 5553 and 5558 is 30863574

Least common multiple can be found by multiplying the highest exponent prime factors of 5553 and 5558. First we will calculate the prime factors of 5553 and 5558.

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 5558


2 5558
7 2779
397 397
1

Prime factors of 5558 are 2, 7,397. Prime factorization of 5558 in exponential form is:

5558 = 21×71×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 5553 and 5558.

LCM(5553,5558) = 21×32×71×3971×6171
LCM(5553,5558) = 30863574

Factors of 5553

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

1, 3, 9, 617, 1851, 5553

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1, 2, 7, 14, 397, 794, 2779, 5558

Least Common Multiple of 5553 and 5558 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 5558, than apply into the LCM equation.

GCF(5553,5558) = 1
LCM(5553,5558) = ( 5553 × 5558) / 1
LCM(5553,5558) = 30863574 / 1
LCM(5553,5558) = 30863574

Properties of LCM 5553 and 5558

(i) The LCM of 5558 and 5553 is associative

LCM of 5553 and 5558 = LCM of 5558 and 5553

Related Least Common Multiples of 5553

Related Least Common Multiples of 5558

Frequently Asked Questions on LCM of 5553 and 5558

1. What is the LCM of 5553 and 5558?

Answer: LCM of 5553 and 5558 is 30863574.

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 5558?

Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.

4. How to Find the LCM of 5553 and 5558?

Answer:

Least Common Multiple of 5553 and 5558 = 30863574

Step 1: Find the prime factorization of 5553

5553 = 3 x 3 x 617

Step 2: Find the prime factorization of 5558

5558 = 2 x 7 x 397

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

LCM = 30863574 = 2 x 3 x 3 x 7 x 397 x 617

Step 4: Therefore, the least common multiple of 5553 and 5558 is 30863574.