Least Common Multiple of 5493 and 5499

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 5499 the smallest integer that is 10068669 that is divisible by both numbers.

Least Common Multiple (LCM) of 5493 and 5499 is 10068669.

LCM(5493,5499) = 10068669

LCM of 5493 and 5499

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

LCM of:
and

Least Common Multiple of 5493 and 5499

LCM of 5493 and 5499 is 10068669

Least common multiple can be found by multiplying the highest exponent prime factors of 5493 and 5499. First we will calculate the prime factors of 5493 and 5499.

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 5499


3 5499
3 1833
13 611
47 47
1

Prime factors of 5499 are 3, 13,47. Prime factorization of 5499 in exponential form is:

5499 = 32×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5493 and 5499.

LCM(5493,5499) = 32×131×471×18311
LCM(5493,5499) = 10068669

Factors of 5493

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

1, 3, 1831, 5493

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499

Least Common Multiple of 5493 and 5499 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 5499, than apply into the LCM equation.

GCF(5493,5499) = 3
LCM(5493,5499) = ( 5493 × 5499) / 3
LCM(5493,5499) = 30206007 / 3
LCM(5493,5499) = 10068669

Properties of LCM 5493 and 5499

(i) The LCM of 5499 and 5493 is associative

LCM of 5493 and 5499 = LCM of 5499 and 5493

Related Least Common Multiples of 5493

Related Least Common Multiples of 5499

Frequently Asked Questions on LCM of 5493 and 5499

1. What is the LCM of 5493 and 5499?

Answer: LCM of 5493 and 5499 is 10068669.

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 5499?

Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.

4. How to Find the LCM of 5493 and 5499?

Answer:

Least Common Multiple of 5493 and 5499 = 10068669

Step 1: Find the prime factorization of 5493

5493 = 3 x 1831

Step 2: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

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

LCM = 10068669 = 3 x 3 x 13 x 47 x 1831

Step 4: Therefore, the least common multiple of 5493 and 5499 is 10068669.