Least Common Multiple of 5648 and 5655

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 5655 the smallest integer that is 31939440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5648 and 5655 is 31939440.

LCM(5648,5655) = 31939440

LCM of 5648 and 5655

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

LCM of:
and

Least Common Multiple of 5648 and 5655

LCM of 5648 and 5655 is 31939440

Least common multiple can be found by multiplying the highest exponent prime factors of 5648 and 5655. First we will calculate the prime factors of 5648 and 5655.

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 5655


3 5655
5 1885
13 377
29 29
1

Prime factors of 5655 are 3, 5, 13,29. Prime factorization of 5655 in exponential form is:

5655 = 31×51×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5655.

LCM(5648,5655) = 24×31×51×131×291×3531
LCM(5648,5655) = 31939440

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 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655

Least Common Multiple of 5648 and 5655 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 5655, than apply into the LCM equation.

GCF(5648,5655) = 1
LCM(5648,5655) = ( 5648 × 5655) / 1
LCM(5648,5655) = 31939440 / 1
LCM(5648,5655) = 31939440

Properties of LCM 5648 and 5655

(i) The LCM of 5655 and 5648 is associative

LCM of 5648 and 5655 = LCM of 5655 and 5648

Related Least Common Multiples of 5648

Related Least Common Multiples of 5655

Frequently Asked Questions on LCM of 5648 and 5655

1. What is the LCM of 5648 and 5655?

Answer: LCM of 5648 and 5655 is 31939440.

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 5655?

Answer: Factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655. There are 16 integers that are factors of 5655. The greatest factor of 5655 is 5655.

4. How to Find the LCM of 5648 and 5655?

Answer:

Least Common Multiple of 5648 and 5655 = 31939440

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 5655

5655 = 3 x 5 x 13 x 29

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

LCM = 31939440 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 29 x 353

Step 4: Therefore, the least common multiple of 5648 and 5655 is 31939440.