Least Common Multiple of 5544 and 5552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5544 and 5552 the smallest integer that is 3847536 that is divisible by both numbers.

Least Common Multiple (LCM) of 5544 and 5552 is 3847536.

LCM(5544,5552) = 3847536

LCM of 5544 and 5552

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

LCM of:
and

Least Common Multiple of 5544 and 5552

LCM of 5544 and 5552 is 3847536

Least common multiple can be found by multiplying the highest exponent prime factors of 5544 and 5552. First we will calculate the prime factors of 5544 and 5552.

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

Prime Factorization of 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5544 and 5552.

LCM(5544,5552) = 24×32×71×111×3471
LCM(5544,5552) = 3847536

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

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552

Least Common Multiple of 5544 and 5552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5544 and 5552, than apply into the LCM equation.

GCF(5544,5552) = 8
LCM(5544,5552) = ( 5544 × 5552) / 8
LCM(5544,5552) = 30780288 / 8
LCM(5544,5552) = 3847536

Properties of LCM 5544 and 5552

(i) The LCM of 5552 and 5544 is associative

LCM of 5544 and 5552 = LCM of 5552 and 5544

Related Least Common Multiples of 5544

Related Least Common Multiples of 5552

Frequently Asked Questions on LCM of 5544 and 5552

1. What is the LCM of 5544 and 5552?

Answer: LCM of 5544 and 5552 is 3847536.

2. 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.

3. What are the Factors of 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

4. How to Find the LCM of 5544 and 5552?

Answer:

Least Common Multiple of 5544 and 5552 = 3847536

Step 1: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

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

LCM = 3847536 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 347

Step 4: Therefore, the least common multiple of 5544 and 5552 is 3847536.