Least Common Multiple of 5752 and 5759

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 5759 the smallest integer that is 33125768 that is divisible by both numbers.

Least Common Multiple (LCM) of 5752 and 5759 is 33125768.

LCM(5752,5759) = 33125768

LCM of 5752 and 5759

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

LCM of:
and

Least Common Multiple of 5752 and 5759

LCM of 5752 and 5759 is 33125768

Least common multiple can be found by multiplying the highest exponent prime factors of 5752 and 5759. First we will calculate the prime factors of 5752 and 5759.

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 5759


13 5759
443 443
1

Prime factors of 5759 are 13,443. Prime factorization of 5759 in exponential form is:

5759 = 131×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 5752 and 5759.

LCM(5752,5759) = 23×131×4431×7191
LCM(5752,5759) = 33125768

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 5759

List of positive integer factors of 5759 that divides 5759 without a remainder.

1, 13, 443, 5759

Least Common Multiple of 5752 and 5759 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 5759, than apply into the LCM equation.

GCF(5752,5759) = 1
LCM(5752,5759) = ( 5752 × 5759) / 1
LCM(5752,5759) = 33125768 / 1
LCM(5752,5759) = 33125768

Properties of LCM 5752 and 5759

(i) The LCM of 5759 and 5752 is associative

LCM of 5752 and 5759 = LCM of 5759 and 5752

Related Least Common Multiples of 5752

Related Least Common Multiples of 5759

Frequently Asked Questions on LCM of 5752 and 5759

1. What is the LCM of 5752 and 5759?

Answer: LCM of 5752 and 5759 is 33125768.

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 5759?

Answer: Factors of 5759 are 1, 13, 443, 5759. There are 4 integers that are factors of 5759. The greatest factor of 5759 is 5759.

4. How to Find the LCM of 5752 and 5759?

Answer:

Least Common Multiple of 5752 and 5759 = 33125768

Step 1: Find the prime factorization of 5752

5752 = 2 x 2 x 2 x 719

Step 2: Find the prime factorization of 5759

5759 = 13 x 443

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

LCM = 33125768 = 2 x 2 x 2 x 13 x 443 x 719

Step 4: Therefore, the least common multiple of 5752 and 5759 is 33125768.