Least Common Multiple of 5743 and 5751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5743 and 5751 the smallest integer that is 33027993 that is divisible by both numbers.

Least Common Multiple (LCM) of 5743 and 5751 is 33027993.

LCM(5743,5751) = 33027993

LCM of 5743 and 5751

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

LCM of:
and

Least Common Multiple of 5743 and 5751

LCM of 5743 and 5751 is 33027993

Least common multiple can be found by multiplying the highest exponent prime factors of 5743 and 5751. First we will calculate the prime factors of 5743 and 5751.

Prime Factorization of 5743


5743 5743
1

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

5743 = 57431

Prime Factorization of 5751


3 5751
3 1917
3 639
3 213
71 71
1

Prime factors of 5751 are 3,71. Prime factorization of 5751 in exponential form is:

5751 = 34×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5743 and 5751.

LCM(5743,5751) = 34×711×57431
LCM(5743,5751) = 33027993

Factors of 5743

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

1, 5743

Factors of 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751

Least Common Multiple of 5743 and 5751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5743 and 5751, than apply into the LCM equation.

GCF(5743,5751) = 1
LCM(5743,5751) = ( 5743 × 5751) / 1
LCM(5743,5751) = 33027993 / 1
LCM(5743,5751) = 33027993

Properties of LCM 5743 and 5751

(i) The LCM of 5751 and 5743 is associative

LCM of 5743 and 5751 = LCM of 5751 and 5743

Related Least Common Multiples of 5743

Related Least Common Multiples of 5751

Frequently Asked Questions on LCM of 5743 and 5751

1. What is the LCM of 5743 and 5751?

Answer: LCM of 5743 and 5751 is 33027993.

2. 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.

3. What are the Factors of 5751?

Answer: Factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751. There are 10 integers that are factors of 5751. The greatest factor of 5751 is 5751.

4. How to Find the LCM of 5743 and 5751?

Answer:

Least Common Multiple of 5743 and 5751 = 33027993

Step 1: Find the prime factorization of 5743

5743 = 5743

Step 2: Find the prime factorization of 5751

5751 = 3 x 3 x 3 x 3 x 71

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

LCM = 33027993 = 3 x 3 x 3 x 3 x 71 x 5743

Step 4: Therefore, the least common multiple of 5743 and 5751 is 33027993.