Least Common Multiple of 5748 and 5756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5748 and 5756 the smallest integer that is 8271372 that is divisible by both numbers.

Least Common Multiple (LCM) of 5748 and 5756 is 8271372.

LCM(5748,5756) = 8271372

LCM of 5748 and 5756

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

LCM of:
and

Least Common Multiple of 5748 and 5756

LCM of 5748 and 5756 is 8271372

Least common multiple can be found by multiplying the highest exponent prime factors of 5748 and 5756. First we will calculate the prime factors of 5748 and 5756.

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

Prime Factorization of 5756


2 5756
2 2878
1439 1439
1

Prime factors of 5756 are 2,1439. Prime factorization of 5756 in exponential form is:

5756 = 22×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 5748 and 5756.

LCM(5748,5756) = 22×31×4791×14391
LCM(5748,5756) = 8271372

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

Factors of 5756

List of positive integer factors of 5756 that divides 5756 without a remainder.

1, 2, 4, 1439, 2878, 5756

Least Common Multiple of 5748 and 5756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5748 and 5756, than apply into the LCM equation.

GCF(5748,5756) = 4
LCM(5748,5756) = ( 5748 × 5756) / 4
LCM(5748,5756) = 33085488 / 4
LCM(5748,5756) = 8271372

Properties of LCM 5748 and 5756

(i) The LCM of 5756 and 5748 is associative

LCM of 5748 and 5756 = LCM of 5756 and 5748

Related Least Common Multiples of 5748

Related Least Common Multiples of 5756

Frequently Asked Questions on LCM of 5748 and 5756

1. What is the LCM of 5748 and 5756?

Answer: LCM of 5748 and 5756 is 8271372.

2. 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.

3. What are the Factors of 5756?

Answer: Factors of 5756 are 1, 2, 4, 1439, 2878, 5756. There are 6 integers that are factors of 5756. The greatest factor of 5756 is 5756.

4. How to Find the LCM of 5748 and 5756?

Answer:

Least Common Multiple of 5748 and 5756 = 8271372

Step 1: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

Step 2: Find the prime factorization of 5756

5756 = 2 x 2 x 1439

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

LCM = 8271372 = 2 x 2 x 3 x 479 x 1439

Step 4: Therefore, the least common multiple of 5748 and 5756 is 8271372.