Least Common Multiple of 5504 and 5512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5504 and 5512 the smallest integer that is 3792256 that is divisible by both numbers.

Least Common Multiple (LCM) of 5504 and 5512 is 3792256.

LCM(5504,5512) = 3792256

LCM of 5504 and 5512

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

LCM of:
and

Least Common Multiple of 5504 and 5512

LCM of 5504 and 5512 is 3792256

Least common multiple can be found by multiplying the highest exponent prime factors of 5504 and 5512. First we will calculate the prime factors of 5504 and 5512.

Prime Factorization of 5504


2 5504
2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 5504 are 2,43. Prime factorization of 5504 in exponential form is:

5504 = 27×431

Prime Factorization of 5512


2 5512
2 2756
2 1378
13 689
53 53
1

Prime factors of 5512 are 2, 13,53. Prime factorization of 5512 in exponential form is:

5512 = 23×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5504 and 5512.

LCM(5504,5512) = 27×131×431×531
LCM(5504,5512) = 3792256

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512

Least Common Multiple of 5504 and 5512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5504 and 5512, than apply into the LCM equation.

GCF(5504,5512) = 8
LCM(5504,5512) = ( 5504 × 5512) / 8
LCM(5504,5512) = 30338048 / 8
LCM(5504,5512) = 3792256

Properties of LCM 5504 and 5512

(i) The LCM of 5512 and 5504 is associative

LCM of 5504 and 5512 = LCM of 5512 and 5504

Related Least Common Multiples of 5504

Related Least Common Multiples of 5512

Frequently Asked Questions on LCM of 5504 and 5512

1. What is the LCM of 5504 and 5512?

Answer: LCM of 5504 and 5512 is 3792256.

2. What are the Factors of 5504?

Answer: Factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504. There are 16 integers that are factors of 5504. The greatest factor of 5504 is 5504.

3. What are the Factors of 5512?

Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.

4. How to Find the LCM of 5504 and 5512?

Answer:

Least Common Multiple of 5504 and 5512 = 3792256

Step 1: Find the prime factorization of 5504

5504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 5512

5512 = 2 x 2 x 2 x 13 x 53

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

LCM = 3792256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 43 x 53

Step 4: Therefore, the least common multiple of 5504 and 5512 is 3792256.