Least Common Multiple of 5744 and 5752

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 5752 the smallest integer that is 4129936 that is divisible by both numbers.

Least Common Multiple (LCM) of 5744 and 5752 is 4129936.

LCM(5744,5752) = 4129936

LCM of 5744 and 5752

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

LCM of:
and

Least Common Multiple of 5744 and 5752

LCM of 5744 and 5752 is 4129936

Least common multiple can be found by multiplying the highest exponent prime factors of 5744 and 5752. First we will calculate the prime factors of 5744 and 5752.

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 5752


2 5752
2 2876
2 1438
719 719
1

Prime factors of 5752 are 2,719. Prime factorization of 5752 in exponential form is:

5752 = 23×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 5744 and 5752.

LCM(5744,5752) = 24×3591×7191
LCM(5744,5752) = 4129936

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 5752

List of positive integer factors of 5752 that divides 5752 without a remainder.

1, 2, 4, 8, 719, 1438, 2876, 5752

Least Common Multiple of 5744 and 5752 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 5752, than apply into the LCM equation.

GCF(5744,5752) = 8
LCM(5744,5752) = ( 5744 × 5752) / 8
LCM(5744,5752) = 33039488 / 8
LCM(5744,5752) = 4129936

Properties of LCM 5744 and 5752

(i) The LCM of 5752 and 5744 is associative

LCM of 5744 and 5752 = LCM of 5752 and 5744

Related Least Common Multiples of 5744

Related Least Common Multiples of 5752

Frequently Asked Questions on LCM of 5744 and 5752

1. What is the LCM of 5744 and 5752?

Answer: LCM of 5744 and 5752 is 4129936.

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 5752?

Answer: Factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752. There are 8 integers that are factors of 5752. The greatest factor of 5752 is 5752.

4. How to Find the LCM of 5744 and 5752?

Answer:

Least Common Multiple of 5744 and 5752 = 4129936

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 5752

5752 = 2 x 2 x 2 x 719

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

LCM = 4129936 = 2 x 2 x 2 x 2 x 359 x 719

Step 4: Therefore, the least common multiple of 5744 and 5752 is 4129936.