Least Common Multiple of 5636 and 5643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5636 and 5643 the smallest integer that is 31803948 that is divisible by both numbers.

Least Common Multiple (LCM) of 5636 and 5643 is 31803948.

LCM(5636,5643) = 31803948

LCM of 5636 and 5643

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

LCM of:
and

Least Common Multiple of 5636 and 5643

LCM of 5636 and 5643 is 31803948

Least common multiple can be found by multiplying the highest exponent prime factors of 5636 and 5643. First we will calculate the prime factors of 5636 and 5643.

Prime Factorization of 5636


2 5636
2 2818
1409 1409
1

Prime factors of 5636 are 2,1409. Prime factorization of 5636 in exponential form is:

5636 = 22×14091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5636 and 5643.

LCM(5636,5643) = 22×33×111×191×14091
LCM(5636,5643) = 31803948

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1, 2, 4, 1409, 2818, 5636

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

Least Common Multiple of 5636 and 5643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5636 and 5643, than apply into the LCM equation.

GCF(5636,5643) = 1
LCM(5636,5643) = ( 5636 × 5643) / 1
LCM(5636,5643) = 31803948 / 1
LCM(5636,5643) = 31803948

Properties of LCM 5636 and 5643

(i) The LCM of 5643 and 5636 is associative

LCM of 5636 and 5643 = LCM of 5643 and 5636

Related Least Common Multiples of 5636

Related Least Common Multiples of 5643

Frequently Asked Questions on LCM of 5636 and 5643

1. What is the LCM of 5636 and 5643?

Answer: LCM of 5636 and 5643 is 31803948.

2. What are the Factors of 5636?

Answer: Factors of 5636 are 1, 2, 4, 1409, 2818, 5636. There are 6 integers that are factors of 5636. The greatest factor of 5636 is 5636.

3. 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.

4. How to Find the LCM of 5636 and 5643?

Answer:

Least Common Multiple of 5636 and 5643 = 31803948

Step 1: Find the prime factorization of 5636

5636 = 2 x 2 x 1409

Step 2: Find the prime factorization of 5643

5643 = 3 x 3 x 3 x 11 x 19

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

LCM = 31803948 = 2 x 2 x 3 x 3 x 3 x 11 x 19 x 1409

Step 4: Therefore, the least common multiple of 5636 and 5643 is 31803948.