Least Common Multiple of 5489 and 5496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5489 and 5496 the smallest integer that is 30167544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5489 and 5496 is 30167544.

LCM(5489,5496) = 30167544

LCM of 5489 and 5496

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

LCM of:
and

Least Common Multiple of 5489 and 5496

LCM of 5489 and 5496 is 30167544

Least common multiple can be found by multiplying the highest exponent prime factors of 5489 and 5496. First we will calculate the prime factors of 5489 and 5496.

Prime Factorization of 5489


11 5489
499 499
1

Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:

5489 = 111×4991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5489 and 5496.

LCM(5489,5496) = 23×31×111×2291×4991
LCM(5489,5496) = 30167544

Factors of 5489

List of positive integer factors of 5489 that divides 5489 without a remainder.

1, 11, 499, 5489

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

Least Common Multiple of 5489 and 5496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5489 and 5496, than apply into the LCM equation.

GCF(5489,5496) = 1
LCM(5489,5496) = ( 5489 × 5496) / 1
LCM(5489,5496) = 30167544 / 1
LCM(5489,5496) = 30167544

Properties of LCM 5489 and 5496

(i) The LCM of 5496 and 5489 is associative

LCM of 5489 and 5496 = LCM of 5496 and 5489

Related Least Common Multiples of 5489

Related Least Common Multiples of 5496

Frequently Asked Questions on LCM of 5489 and 5496

1. What is the LCM of 5489 and 5496?

Answer: LCM of 5489 and 5496 is 30167544.

2. What are the Factors of 5489?

Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.

3. 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.

4. How to Find the LCM of 5489 and 5496?

Answer:

Least Common Multiple of 5489 and 5496 = 30167544

Step 1: Find the prime factorization of 5489

5489 = 11 x 499

Step 2: Find the prime factorization of 5496

5496 = 2 x 2 x 2 x 3 x 229

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

LCM = 30167544 = 2 x 2 x 2 x 3 x 11 x 229 x 499

Step 4: Therefore, the least common multiple of 5489 and 5496 is 30167544.