Least Common Multiple of 5643 and 5647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5643 and 5647 the smallest integer that is 31866021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5643 and 5647 is 31866021.

LCM(5643,5647) = 31866021

LCM of 5643 and 5647

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

LCM of:
and

Least Common Multiple of 5643 and 5647

LCM of 5643 and 5647 is 31866021

Least common multiple can be found by multiplying the highest exponent prime factors of 5643 and 5647. First we will calculate the prime factors of 5643 and 5647.

Prime Factorization of 5643


3 5643
3 1881
3 627
11 209
19 19
1

Prime factors of 5643 are 3, 11,19. Prime factorization of 5643 in exponential form is:

5643 = 33×111×191

Prime Factorization of 5647


5647 5647
1

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

5647 = 56471

Now multiplying the highest exponent prime factors to calculate the LCM of 5643 and 5647.

LCM(5643,5647) = 33×111×191×56471
LCM(5643,5647) = 31866021

Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643

Factors of 5647

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

1, 5647

Least Common Multiple of 5643 and 5647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5643 and 5647, than apply into the LCM equation.

GCF(5643,5647) = 1
LCM(5643,5647) = ( 5643 × 5647) / 1
LCM(5643,5647) = 31866021 / 1
LCM(5643,5647) = 31866021

Properties of LCM 5643 and 5647

(i) The LCM of 5647 and 5643 is associative

LCM of 5643 and 5647 = LCM of 5647 and 5643

Related Least Common Multiples of 5643

Related Least Common Multiples of 5647

Frequently Asked Questions on LCM of 5643 and 5647

1. What is the LCM of 5643 and 5647?

Answer: LCM of 5643 and 5647 is 31866021.

2. What are the Factors of 5643?

Answer: Factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643. There are 16 integers that are factors of 5643. The greatest factor of 5643 is 5643.

3. 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.

4. How to Find the LCM of 5643 and 5647?

Answer:

Least Common Multiple of 5643 and 5647 = 31866021

Step 1: Find the prime factorization of 5643

5643 = 3 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 5647

5647 = 5647

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

LCM = 31866021 = 3 x 3 x 3 x 11 x 19 x 5647

Step 4: Therefore, the least common multiple of 5643 and 5647 is 31866021.