Least Common Multiple of 5744 and 5750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5744 and 5750 the smallest integer that is 16514000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5744 and 5750 is 16514000.

LCM(5744,5750) = 16514000

LCM of 5744 and 5750

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

LCM of:
and

Least Common Multiple of 5744 and 5750

LCM of 5744 and 5750 is 16514000

Least common multiple can be found by multiplying the highest exponent prime factors of 5744 and 5750. First we will calculate the prime factors of 5744 and 5750.

Prime Factorization of 5744


2 5744
2 2872
2 1436
2 718
359 359
1

Prime factors of 5744 are 2,359. Prime factorization of 5744 in exponential form is:

5744 = 24×3591

Prime Factorization of 5750


2 5750
5 2875
5 575
5 115
23 23
1

Prime factors of 5750 are 2, 5,23. Prime factorization of 5750 in exponential form is:

5750 = 21×53×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5744 and 5750.

LCM(5744,5750) = 24×53×231×3591
LCM(5744,5750) = 16514000

Factors of 5744

List of positive integer factors of 5744 that divides 5744 without a remainder.

1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750

Least Common Multiple of 5744 and 5750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5744 and 5750, than apply into the LCM equation.

GCF(5744,5750) = 2
LCM(5744,5750) = ( 5744 × 5750) / 2
LCM(5744,5750) = 33028000 / 2
LCM(5744,5750) = 16514000

Properties of LCM 5744 and 5750

(i) The LCM of 5750 and 5744 is associative

LCM of 5744 and 5750 = LCM of 5750 and 5744

Related Least Common Multiples of 5744

Related Least Common Multiples of 5750

Frequently Asked Questions on LCM of 5744 and 5750

1. What is the LCM of 5744 and 5750?

Answer: LCM of 5744 and 5750 is 16514000.

2. What are the Factors of 5744?

Answer: Factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744. There are 10 integers that are factors of 5744. The greatest factor of 5744 is 5744.

3. What are the Factors of 5750?

Answer: Factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750. There are 16 integers that are factors of 5750. The greatest factor of 5750 is 5750.

4. How to Find the LCM of 5744 and 5750?

Answer:

Least Common Multiple of 5744 and 5750 = 16514000

Step 1: Find the prime factorization of 5744

5744 = 2 x 2 x 2 x 2 x 359

Step 2: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

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

LCM = 16514000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23 x 359

Step 4: Therefore, the least common multiple of 5744 and 5750 is 16514000.