Least Common Multiple of 5648 and 5649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5648 and 5649 the smallest integer that is 31905552 that is divisible by both numbers.

Least Common Multiple (LCM) of 5648 and 5649 is 31905552.

LCM(5648,5649) = 31905552

LCM of 5648 and 5649

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

LCM of:
and

Least Common Multiple of 5648 and 5649

LCM of 5648 and 5649 is 31905552

Least common multiple can be found by multiplying the highest exponent prime factors of 5648 and 5649. First we will calculate the prime factors of 5648 and 5649.

Prime Factorization of 5648


2 5648
2 2824
2 1412
2 706
353 353
1

Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:

5648 = 24×3531

Prime Factorization of 5649


3 5649
7 1883
269 269
1

Prime factors of 5649 are 3, 7,269. Prime factorization of 5649 in exponential form is:

5649 = 31×71×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5649.

LCM(5648,5649) = 24×31×71×2691×3531
LCM(5648,5649) = 31905552

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883, 5649

Least Common Multiple of 5648 and 5649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5648 and 5649, than apply into the LCM equation.

GCF(5648,5649) = 1
LCM(5648,5649) = ( 5648 × 5649) / 1
LCM(5648,5649) = 31905552 / 1
LCM(5648,5649) = 31905552

Properties of LCM 5648 and 5649

(i) The LCM of 5649 and 5648 is associative

LCM of 5648 and 5649 = LCM of 5649 and 5648

Related Least Common Multiples of 5648

Related Least Common Multiples of 5649

Frequently Asked Questions on LCM of 5648 and 5649

1. What is the LCM of 5648 and 5649?

Answer: LCM of 5648 and 5649 is 31905552.

2. What are the Factors of 5648?

Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.

3. What are the Factors of 5649?

Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.

4. How to Find the LCM of 5648 and 5649?

Answer:

Least Common Multiple of 5648 and 5649 = 31905552

Step 1: Find the prime factorization of 5648

5648 = 2 x 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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

LCM = 31905552 = 2 x 2 x 2 x 2 x 3 x 7 x 269 x 353

Step 4: Therefore, the least common multiple of 5648 and 5649 is 31905552.