Least Common Multiple of 5536 and 5544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5536 and 5544 the smallest integer that is 3836448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5536 and 5544 is 3836448.

LCM(5536,5544) = 3836448

LCM of 5536 and 5544

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

LCM of:
and

Least Common Multiple of 5536 and 5544

LCM of 5536 and 5544 is 3836448

Least common multiple can be found by multiplying the highest exponent prime factors of 5536 and 5544. First we will calculate the prime factors of 5536 and 5544.

Prime Factorization of 5536


2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 5536 are 2,173. Prime factorization of 5536 in exponential form is:

5536 = 25×1731

Prime Factorization of 5544


2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 5544 are 2, 3, 7,11. Prime factorization of 5544 in exponential form is:

5544 = 23×32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5536 and 5544.

LCM(5536,5544) = 25×32×71×111×1731
LCM(5536,5544) = 3836448

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544

Least Common Multiple of 5536 and 5544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5536 and 5544, than apply into the LCM equation.

GCF(5536,5544) = 8
LCM(5536,5544) = ( 5536 × 5544) / 8
LCM(5536,5544) = 30691584 / 8
LCM(5536,5544) = 3836448

Properties of LCM 5536 and 5544

(i) The LCM of 5544 and 5536 is associative

LCM of 5536 and 5544 = LCM of 5544 and 5536

Related Least Common Multiples of 5536

Related Least Common Multiples of 5544

Frequently Asked Questions on LCM of 5536 and 5544

1. What is the LCM of 5536 and 5544?

Answer: LCM of 5536 and 5544 is 3836448.

2. What are the Factors of 5536?

Answer: Factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536. There are 12 integers that are factors of 5536. The greatest factor of 5536 is 5536.

3. What are the Factors of 5544?

Answer: Factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544. There are 48 integers that are factors of 5544. The greatest factor of 5544 is 5544.

4. How to Find the LCM of 5536 and 5544?

Answer:

Least Common Multiple of 5536 and 5544 = 3836448

Step 1: Find the prime factorization of 5536

5536 = 2 x 2 x 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 x 7 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 = 3836448 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 173

Step 4: Therefore, the least common multiple of 5536 and 5544 is 3836448.