Least Common Multiple of 5493 and 5498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5493 and 5498 the smallest integer that is 30200514 that is divisible by both numbers.

Least Common Multiple (LCM) of 5493 and 5498 is 30200514.

LCM(5493,5498) = 30200514

LCM of 5493 and 5498

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

LCM of:
and

Least Common Multiple of 5493 and 5498

LCM of 5493 and 5498 is 30200514

Least common multiple can be found by multiplying the highest exponent prime factors of 5493 and 5498. First we will calculate the prime factors of 5493 and 5498.

Prime Factorization of 5493


3 5493
1831 1831
1

Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:

5493 = 31×18311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5493 and 5498.

LCM(5493,5498) = 21×31×18311×27491
LCM(5493,5498) = 30200514

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1, 3, 1831, 5493

Factors of 5498

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

1, 2, 2749, 5498

Least Common Multiple of 5493 and 5498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5493 and 5498, than apply into the LCM equation.

GCF(5493,5498) = 1
LCM(5493,5498) = ( 5493 × 5498) / 1
LCM(5493,5498) = 30200514 / 1
LCM(5493,5498) = 30200514

Properties of LCM 5493 and 5498

(i) The LCM of 5498 and 5493 is associative

LCM of 5493 and 5498 = LCM of 5498 and 5493

Related Least Common Multiples of 5493

Related Least Common Multiples of 5498

Frequently Asked Questions on LCM of 5493 and 5498

1. What is the LCM of 5493 and 5498?

Answer: LCM of 5493 and 5498 is 30200514.

2. What are the Factors of 5493?

Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.

3. 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.

4. How to Find the LCM of 5493 and 5498?

Answer:

Least Common Multiple of 5493 and 5498 = 30200514

Step 1: Find the prime factorization of 5493

5493 = 3 x 1831

Step 2: Find the prime factorization of 5498

5498 = 2 x 2749

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

LCM = 30200514 = 2 x 3 x 1831 x 2749

Step 4: Therefore, the least common multiple of 5493 and 5498 is 30200514.