Least Common Multiple of 5498 and 5506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5498 and 5506 the smallest integer that is 15135994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5498 and 5506 is 15135994.

LCM(5498,5506) = 15135994

LCM of 5498 and 5506

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

LCM of:
and

Least Common Multiple of 5498 and 5506

LCM of 5498 and 5506 is 15135994

Least common multiple can be found by multiplying the highest exponent prime factors of 5498 and 5506. First we will calculate the prime factors of 5498 and 5506.

Prime Factorization of 5498


2 5498
2749 2749
1

Prime factors of 5498 are 2,2749. Prime factorization of 5498 in exponential form is:

5498 = 21×27491

Prime Factorization of 5506


2 5506
2753 2753
1

Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:

5506 = 21×27531

Now multiplying the highest exponent prime factors to calculate the LCM of 5498 and 5506.

LCM(5498,5506) = 21×27491×27531
LCM(5498,5506) = 15135994

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1, 2, 2749, 5498

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1, 2, 2753, 5506

Least Common Multiple of 5498 and 5506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5498 and 5506, than apply into the LCM equation.

GCF(5498,5506) = 2
LCM(5498,5506) = ( 5498 × 5506) / 2
LCM(5498,5506) = 30271988 / 2
LCM(5498,5506) = 15135994

Properties of LCM 5498 and 5506

(i) The LCM of 5506 and 5498 is associative

LCM of 5498 and 5506 = LCM of 5506 and 5498

Related Least Common Multiples of 5498

Related Least Common Multiples of 5506

Frequently Asked Questions on LCM of 5498 and 5506

1. What is the LCM of 5498 and 5506?

Answer: LCM of 5498 and 5506 is 15135994.

2. What are the Factors of 5498?

Answer: Factors of 5498 are 1, 2, 2749, 5498. There are 4 integers that are factors of 5498. The greatest factor of 5498 is 5498.

3. What are the Factors of 5506?

Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.

4. How to Find the LCM of 5498 and 5506?

Answer:

Least Common Multiple of 5498 and 5506 = 15135994

Step 1: Find the prime factorization of 5498

5498 = 2 x 2749

Step 2: Find the prime factorization of 5506

5506 = 2 x 2753

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

LCM = 15135994 = 2 x 2749 x 2753

Step 4: Therefore, the least common multiple of 5498 and 5506 is 15135994.