Least Common Multiple of 5496 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 5496 and 5503 the smallest integer that is 30244488 that is divisible by both numbers.

Least Common Multiple (LCM) of 5496 and 5503 is 30244488.

LCM(5496,5503) = 30244488

LCM of 5496 and 5503

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

LCM of:
and

Least Common Multiple of 5496 and 5503

LCM of 5496 and 5503 is 30244488

Least common multiple can be found by multiplying the highest exponent prime factors of 5496 and 5503. First we will calculate the prime factors of 5496 and 5503.

Prime Factorization of 5496


2 5496
2 2748
2 1374
3 687
229 229
1

Prime factors of 5496 are 2, 3,229. Prime factorization of 5496 in exponential form is:

5496 = 23×31×2291

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 5496 and 5503.

LCM(5496,5503) = 23×31×2291×55031
LCM(5496,5503) = 30244488

Factors of 5496

List of positive integer factors of 5496 that divides 5496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496

Factors of 5503

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

1, 5503

Least Common Multiple of 5496 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 5496 and 5503, than apply into the LCM equation.

GCF(5496,5503) = 1
LCM(5496,5503) = ( 5496 × 5503) / 1
LCM(5496,5503) = 30244488 / 1
LCM(5496,5503) = 30244488

Properties of LCM 5496 and 5503

(i) The LCM of 5503 and 5496 is associative

LCM of 5496 and 5503 = LCM of 5503 and 5496

Related Least Common Multiples of 5496

Related Least Common Multiples of 5503

Frequently Asked Questions on LCM of 5496 and 5503

1. What is the LCM of 5496 and 5503?

Answer: LCM of 5496 and 5503 is 30244488.

2. What are the Factors of 5496?

Answer: Factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496. There are 16 integers that are factors of 5496. The greatest factor of 5496 is 5496.

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 5496 and 5503?

Answer:

Least Common Multiple of 5496 and 5503 = 30244488

Step 1: Find the prime factorization of 5496

5496 = 2 x 2 x 2 x 3 x 229

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 = 30244488 = 2 x 2 x 2 x 3 x 229 x 5503

Step 4: Therefore, the least common multiple of 5496 and 5503 is 30244488.