Least Common Multiple of 5743 and 5748

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 5748 the smallest integer that is 33010764 that is divisible by both numbers.

Least Common Multiple (LCM) of 5743 and 5748 is 33010764.

LCM(5743,5748) = 33010764

LCM of 5743 and 5748

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

LCM of:
and

Least Common Multiple of 5743 and 5748

LCM of 5743 and 5748 is 33010764

Least common multiple can be found by multiplying the highest exponent prime factors of 5743 and 5748. First we will calculate the prime factors of 5743 and 5748.

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 5748


2 5748
2 2874
3 1437
479 479
1

Prime factors of 5748 are 2, 3,479. Prime factorization of 5748 in exponential form is:

5748 = 22×31×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 5743 and 5748.

LCM(5743,5748) = 22×31×4791×57431
LCM(5743,5748) = 33010764

Factors of 5743

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

1, 5743

Factors of 5748

List of positive integer factors of 5748 that divides 5748 without a remainder.

1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748

Least Common Multiple of 5743 and 5748 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 5748, than apply into the LCM equation.

GCF(5743,5748) = 1
LCM(5743,5748) = ( 5743 × 5748) / 1
LCM(5743,5748) = 33010764 / 1
LCM(5743,5748) = 33010764

Properties of LCM 5743 and 5748

(i) The LCM of 5748 and 5743 is associative

LCM of 5743 and 5748 = LCM of 5748 and 5743

Related Least Common Multiples of 5743

Related Least Common Multiples of 5748

Frequently Asked Questions on LCM of 5743 and 5748

1. What is the LCM of 5743 and 5748?

Answer: LCM of 5743 and 5748 is 33010764.

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 5748?

Answer: Factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748. There are 12 integers that are factors of 5748. The greatest factor of 5748 is 5748.

4. How to Find the LCM of 5743 and 5748?

Answer:

Least Common Multiple of 5743 and 5748 = 33010764

Step 1: Find the prime factorization of 5743

5743 = 5743

Step 2: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

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

LCM = 33010764 = 2 x 2 x 3 x 479 x 5743

Step 4: Therefore, the least common multiple of 5743 and 5748 is 33010764.