Least Common Multiple of 5499 and 5504

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 5504 the smallest integer that is 30266496 that is divisible by both numbers.

Least Common Multiple (LCM) of 5499 and 5504 is 30266496.

LCM(5499,5504) = 30266496

LCM of 5499 and 5504

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

LCM of:
and

Least Common Multiple of 5499 and 5504

LCM of 5499 and 5504 is 30266496

Least common multiple can be found by multiplying the highest exponent prime factors of 5499 and 5504. First we will calculate the prime factors of 5499 and 5504.

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 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5499 and 5504.

LCM(5499,5504) = 27×32×131×431×471
LCM(5499,5504) = 30266496

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 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504

Least Common Multiple of 5499 and 5504 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 5504, than apply into the LCM equation.

GCF(5499,5504) = 1
LCM(5499,5504) = ( 5499 × 5504) / 1
LCM(5499,5504) = 30266496 / 1
LCM(5499,5504) = 30266496

Properties of LCM 5499 and 5504

(i) The LCM of 5504 and 5499 is associative

LCM of 5499 and 5504 = LCM of 5504 and 5499

Related Least Common Multiples of 5499

Related Least Common Multiples of 5504

Frequently Asked Questions on LCM of 5499 and 5504

1. What is the LCM of 5499 and 5504?

Answer: LCM of 5499 and 5504 is 30266496.

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 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

4. How to Find the LCM of 5499 and 5504?

Answer:

Least Common Multiple of 5499 and 5504 = 30266496

Step 1: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

Step 2: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 30266496 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 43 x 47

Step 4: Therefore, the least common multiple of 5499 and 5504 is 30266496.