Least Common Multiple of 5554 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 5554 and 5558 the smallest integer that is 15434566 that is divisible by both numbers.

Least Common Multiple (LCM) of 5554 and 5558 is 15434566.

LCM(5554,5558) = 15434566

LCM of 5554 and 5558

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

LCM of:
and

Least Common Multiple of 5554 and 5558

LCM of 5554 and 5558 is 15434566

Least common multiple can be found by multiplying the highest exponent prime factors of 5554 and 5558. First we will calculate the prime factors of 5554 and 5558.

Prime Factorization of 5554


2 5554
2777 2777
1

Prime factors of 5554 are 2,2777. Prime factorization of 5554 in exponential form is:

5554 = 21×27771

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 5554 and 5558.

LCM(5554,5558) = 21×71×3971×27771
LCM(5554,5558) = 15434566

Factors of 5554

List of positive integer factors of 5554 that divides 5554 without a remainder.

1, 2, 2777, 5554

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 5554 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 5554 and 5558, than apply into the LCM equation.

GCF(5554,5558) = 2
LCM(5554,5558) = ( 5554 × 5558) / 2
LCM(5554,5558) = 30869132 / 2
LCM(5554,5558) = 15434566

Properties of LCM 5554 and 5558

(i) The LCM of 5558 and 5554 is associative

LCM of 5554 and 5558 = LCM of 5558 and 5554

Related Least Common Multiples of 5554

Related Least Common Multiples of 5558

Frequently Asked Questions on LCM of 5554 and 5558

1. What is the LCM of 5554 and 5558?

Answer: LCM of 5554 and 5558 is 15434566.

2. What are the Factors of 5554?

Answer: Factors of 5554 are 1, 2, 2777, 5554. There are 4 integers that are factors of 5554. The greatest factor of 5554 is 5554.

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 5554 and 5558?

Answer:

Least Common Multiple of 5554 and 5558 = 15434566

Step 1: Find the prime factorization of 5554

5554 = 2 x 2777

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 = 15434566 = 2 x 7 x 397 x 2777

Step 4: Therefore, the least common multiple of 5554 and 5558 is 15434566.