Least Common Multiple of 5492 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 5492 and 5499 the smallest integer that is 30200508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5492 and 5499 is 30200508.

LCM(5492,5499) = 30200508

LCM of 5492 and 5499

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

LCM of:
and

Least Common Multiple of 5492 and 5499

LCM of 5492 and 5499 is 30200508

Least common multiple can be found by multiplying the highest exponent prime factors of 5492 and 5499. First we will calculate the prime factors of 5492 and 5499.

Prime Factorization of 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

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 5492 and 5499.

LCM(5492,5499) = 22×32×131×471×13731
LCM(5492,5499) = 30200508

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1, 2, 4, 1373, 2746, 5492

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 5492 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 5492 and 5499, than apply into the LCM equation.

GCF(5492,5499) = 1
LCM(5492,5499) = ( 5492 × 5499) / 1
LCM(5492,5499) = 30200508 / 1
LCM(5492,5499) = 30200508

Properties of LCM 5492 and 5499

(i) The LCM of 5499 and 5492 is associative

LCM of 5492 and 5499 = LCM of 5499 and 5492

Related Least Common Multiples of 5492

Related Least Common Multiples of 5499

Frequently Asked Questions on LCM of 5492 and 5499

1. What is the LCM of 5492 and 5499?

Answer: LCM of 5492 and 5499 is 30200508.

2. What are the Factors of 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

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 5492 and 5499?

Answer:

Least Common Multiple of 5492 and 5499 = 30200508

Step 1: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

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 = 30200508 = 2 x 2 x 3 x 3 x 13 x 47 x 1373

Step 4: Therefore, the least common multiple of 5492 and 5499 is 30200508.