Least Common Multiple of 5752 and 5760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5752 and 5760 the smallest integer that is 4141440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5752 and 5760 is 4141440.

LCM(5752,5760) = 4141440

LCM of 5752 and 5760

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

LCM of:
and

Least Common Multiple of 5752 and 5760

LCM of 5752 and 5760 is 4141440

Least common multiple can be found by multiplying the highest exponent prime factors of 5752 and 5760. First we will calculate the prime factors of 5752 and 5760.

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

Prime Factorization of 5760


2 5760
2 2880
2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 5760 are 2, 3,5. Prime factorization of 5760 in exponential form is:

5760 = 27×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 5752 and 5760.

LCM(5752,5760) = 27×32×51×7191
LCM(5752,5760) = 4141440

Factors of 5752

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

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

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760

Least Common Multiple of 5752 and 5760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5752 and 5760, than apply into the LCM equation.

GCF(5752,5760) = 8
LCM(5752,5760) = ( 5752 × 5760) / 8
LCM(5752,5760) = 33131520 / 8
LCM(5752,5760) = 4141440

Properties of LCM 5752 and 5760

(i) The LCM of 5760 and 5752 is associative

LCM of 5752 and 5760 = LCM of 5760 and 5752

Related Least Common Multiples of 5752

Related Least Common Multiples of 5760

Frequently Asked Questions on LCM of 5752 and 5760

1. What is the LCM of 5752 and 5760?

Answer: LCM of 5752 and 5760 is 4141440.

2. 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.

3. What are the Factors of 5760?

Answer: Factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. There are 48 integers that are factors of 5760. The greatest factor of 5760 is 5760.

4. How to Find the LCM of 5752 and 5760?

Answer:

Least Common Multiple of 5752 and 5760 = 4141440

Step 1: Find the prime factorization of 5752

5752 = 2 x 2 x 2 x 719

Step 2: Find the prime factorization of 5760

5760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 4141440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 719

Step 4: Therefore, the least common multiple of 5752 and 5760 is 4141440.