Least Common Multiple of 5647 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 5647 and 5655 the smallest integer that is 31933785 that is divisible by both numbers.

Least Common Multiple (LCM) of 5647 and 5655 is 31933785.

LCM(5647,5655) = 31933785

LCM of 5647 and 5655

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

LCM of:
and

Least Common Multiple of 5647 and 5655

LCM of 5647 and 5655 is 31933785

Least common multiple can be found by multiplying the highest exponent prime factors of 5647 and 5655. First we will calculate the prime factors of 5647 and 5655.

Prime Factorization of 5647


5647 5647
1

Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:

5647 = 56471

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 5647 and 5655.

LCM(5647,5655) = 31×51×131×291×56471
LCM(5647,5655) = 31933785

Factors of 5647

List of positive integer factors of 5647 that divides 5647 without a remainder.

1, 5647

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 5647 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 5647 and 5655, than apply into the LCM equation.

GCF(5647,5655) = 1
LCM(5647,5655) = ( 5647 × 5655) / 1
LCM(5647,5655) = 31933785 / 1
LCM(5647,5655) = 31933785

Properties of LCM 5647 and 5655

(i) The LCM of 5655 and 5647 is associative

LCM of 5647 and 5655 = LCM of 5655 and 5647

Related Least Common Multiples of 5647

Related Least Common Multiples of 5655

Frequently Asked Questions on LCM of 5647 and 5655

1. What is the LCM of 5647 and 5655?

Answer: LCM of 5647 and 5655 is 31933785.

2. What are the Factors of 5647?

Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.

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 5647 and 5655?

Answer:

Least Common Multiple of 5647 and 5655 = 31933785

Step 1: Find the prime factorization of 5647

5647 = 5647

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 = 31933785 = 3 x 5 x 13 x 29 x 5647

Step 4: Therefore, the least common multiple of 5647 and 5655 is 31933785.