Least Common Multiple of 5499 and 5503

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 5503 the smallest integer that is 30260997 that is divisible by both numbers.

Least Common Multiple (LCM) of 5499 and 5503 is 30260997.

LCM(5499,5503) = 30260997

LCM of 5499 and 5503

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

LCM of:
and

Least Common Multiple of 5499 and 5503

LCM of 5499 and 5503 is 30260997

Least common multiple can be found by multiplying the highest exponent prime factors of 5499 and 5503. First we will calculate the prime factors of 5499 and 5503.

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 5503


5503 5503
1

Prime factors of 5503 are 5503. Prime factorization of 5503 in exponential form is:

5503 = 55031

Now multiplying the highest exponent prime factors to calculate the LCM of 5499 and 5503.

LCM(5499,5503) = 32×131×471×55031
LCM(5499,5503) = 30260997

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 5503

List of positive integer factors of 5503 that divides 5503 without a remainder.

1, 5503

Least Common Multiple of 5499 and 5503 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 5503, than apply into the LCM equation.

GCF(5499,5503) = 1
LCM(5499,5503) = ( 5499 × 5503) / 1
LCM(5499,5503) = 30260997 / 1
LCM(5499,5503) = 30260997

Properties of LCM 5499 and 5503

(i) The LCM of 5503 and 5499 is associative

LCM of 5499 and 5503 = LCM of 5503 and 5499

Related Least Common Multiples of 5499

Related Least Common Multiples of 5503

Frequently Asked Questions on LCM of 5499 and 5503

1. What is the LCM of 5499 and 5503?

Answer: LCM of 5499 and 5503 is 30260997.

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 5503?

Answer: Factors of 5503 are 1, 5503. There are 2 integers that are factors of 5503. The greatest factor of 5503 is 5503.

4. How to Find the LCM of 5499 and 5503?

Answer:

Least Common Multiple of 5499 and 5503 = 30260997

Step 1: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

Step 2: Find the prime factorization of 5503

5503 = 5503

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

LCM = 30260997 = 3 x 3 x 13 x 47 x 5503

Step 4: Therefore, the least common multiple of 5499 and 5503 is 30260997.