Least Common Multiple of 5496 and 5500

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 5500 the smallest integer that is 7557000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5496 and 5500 is 7557000.

LCM(5496,5500) = 7557000

LCM of 5496 and 5500

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

LCM of:
and

Least Common Multiple of 5496 and 5500

LCM of 5496 and 5500 is 7557000

Least common multiple can be found by multiplying the highest exponent prime factors of 5496 and 5500. First we will calculate the prime factors of 5496 and 5500.

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 5500


2 5500
2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 5500 are 2, 5,11. Prime factorization of 5500 in exponential form is:

5500 = 22×53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5496 and 5500.

LCM(5496,5500) = 23×31×53×111×2291
LCM(5496,5500) = 7557000

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 5500

List of positive integer factors of 5500 that divides 5500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500

Least Common Multiple of 5496 and 5500 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 5500, than apply into the LCM equation.

GCF(5496,5500) = 4
LCM(5496,5500) = ( 5496 × 5500) / 4
LCM(5496,5500) = 30228000 / 4
LCM(5496,5500) = 7557000

Properties of LCM 5496 and 5500

(i) The LCM of 5500 and 5496 is associative

LCM of 5496 and 5500 = LCM of 5500 and 5496

Related Least Common Multiples of 5496

Related Least Common Multiples of 5500

Frequently Asked Questions on LCM of 5496 and 5500

1. What is the LCM of 5496 and 5500?

Answer: LCM of 5496 and 5500 is 7557000.

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 5500?

Answer: Factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500. There are 24 integers that are factors of 5500. The greatest factor of 5500 is 5500.

4. How to Find the LCM of 5496 and 5500?

Answer:

Least Common Multiple of 5496 and 5500 = 7557000

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 5500

5500 = 2 x 2 x 5 x 5 x 5 x 11

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

LCM = 7557000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 x 229

Step 4: Therefore, the least common multiple of 5496 and 5500 is 7557000.