Least Common Multiple of 5742 and 5743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5742 and 5743 the smallest integer that is 32976306 that is divisible by both numbers.

Least Common Multiple (LCM) of 5742 and 5743 is 32976306.

LCM(5742,5743) = 32976306

LCM of 5742 and 5743

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

LCM of:
and

Least Common Multiple of 5742 and 5743

LCM of 5742 and 5743 is 32976306

Least common multiple can be found by multiplying the highest exponent prime factors of 5742 and 5743. First we will calculate the prime factors of 5742 and 5743.

Prime Factorization of 5742


2 5742
3 2871
3 957
11 319
29 29
1

Prime factors of 5742 are 2, 3, 11,29. Prime factorization of 5742 in exponential form is:

5742 = 21×32×111×291

Prime Factorization of 5743


5743 5743
1

Prime factors of 5743 are 5743. Prime factorization of 5743 in exponential form is:

5743 = 57431

Now multiplying the highest exponent prime factors to calculate the LCM of 5742 and 5743.

LCM(5742,5743) = 21×32×111×291×57431
LCM(5742,5743) = 32976306

Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742

Factors of 5743

List of positive integer factors of 5743 that divides 5743 without a remainder.

1, 5743

Least Common Multiple of 5742 and 5743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5742 and 5743, than apply into the LCM equation.

GCF(5742,5743) = 1
LCM(5742,5743) = ( 5742 × 5743) / 1
LCM(5742,5743) = 32976306 / 1
LCM(5742,5743) = 32976306

Properties of LCM 5742 and 5743

(i) The LCM of 5743 and 5742 is associative

LCM of 5742 and 5743 = LCM of 5743 and 5742

Related Least Common Multiples of 5742

Related Least Common Multiples of 5743

Frequently Asked Questions on LCM of 5742 and 5743

1. What is the LCM of 5742 and 5743?

Answer: LCM of 5742 and 5743 is 32976306.

2. What are the Factors of 5742?

Answer: Factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. There are 24 integers that are factors of 5742. The greatest factor of 5742 is 5742.

3. What are the Factors of 5743?

Answer: Factors of 5743 are 1, 5743. There are 2 integers that are factors of 5743. The greatest factor of 5743 is 5743.

4. How to Find the LCM of 5742 and 5743?

Answer:

Least Common Multiple of 5742 and 5743 = 32976306

Step 1: Find the prime factorization of 5742

5742 = 2 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 5743

5743 = 5743

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

LCM = 32976306 = 2 x 3 x 3 x 11 x 29 x 5743

Step 4: Therefore, the least common multiple of 5742 and 5743 is 32976306.