Least Common Multiple of 5499 and 5507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5499 and 5507 the smallest integer that is 30282993 that is divisible by both numbers.

Least Common Multiple (LCM) of 5499 and 5507 is 30282993.

LCM(5499,5507) = 30282993

LCM of 5499 and 5507

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

LCM of:
and

Least Common Multiple of 5499 and 5507

LCM of 5499 and 5507 is 30282993

Least common multiple can be found by multiplying the highest exponent prime factors of 5499 and 5507. First we will calculate the prime factors of 5499 and 5507.

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

Prime Factorization of 5507


5507 5507
1

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 5499 and 5507.

LCM(5499,5507) = 32×131×471×55071
LCM(5499,5507) = 30282993

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

Factors of 5507

List of positive integer factors of 5507 that divides 5507 without a remainder.

1, 5507

Least Common Multiple of 5499 and 5507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5499 and 5507, than apply into the LCM equation.

GCF(5499,5507) = 1
LCM(5499,5507) = ( 5499 × 5507) / 1
LCM(5499,5507) = 30282993 / 1
LCM(5499,5507) = 30282993

Properties of LCM 5499 and 5507

(i) The LCM of 5507 and 5499 is associative

LCM of 5499 and 5507 = LCM of 5507 and 5499

Related Least Common Multiples of 5499

Related Least Common Multiples of 5507

Frequently Asked Questions on LCM of 5499 and 5507

1. What is the LCM of 5499 and 5507?

Answer: LCM of 5499 and 5507 is 30282993.

2. 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.

3. What are the Factors of 5507?

Answer: Factors of 5507 are 1, 5507. There are 2 integers that are factors of 5507. The greatest factor of 5507 is 5507.

4. How to Find the LCM of 5499 and 5507?

Answer:

Least Common Multiple of 5499 and 5507 = 30282993

Step 1: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

Step 2: Find the prime factorization of 5507

5507 = 5507

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

LCM = 30282993 = 3 x 3 x 13 x 47 x 5507

Step 4: Therefore, the least common multiple of 5499 and 5507 is 30282993.