Least Common Multiple of 5748 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 5748 and 5752 the smallest integer that is 8265624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5748 and 5752 is 8265624.

LCM(5748,5752) = 8265624

LCM of 5748 and 5752

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

LCM of:
and

Least Common Multiple of 5748 and 5752

LCM of 5748 and 5752 is 8265624

Least common multiple can be found by multiplying the highest exponent prime factors of 5748 and 5752. First we will calculate the prime factors of 5748 and 5752.

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 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 5748 and 5752.

LCM(5748,5752) = 23×31×4791×7191
LCM(5748,5752) = 8265624

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 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 5748 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 5748 and 5752, than apply into the LCM equation.

GCF(5748,5752) = 4
LCM(5748,5752) = ( 5748 × 5752) / 4
LCM(5748,5752) = 33062496 / 4
LCM(5748,5752) = 8265624

Properties of LCM 5748 and 5752

(i) The LCM of 5752 and 5748 is associative

LCM of 5748 and 5752 = LCM of 5752 and 5748

Related Least Common Multiples of 5748

Related Least Common Multiples of 5752

Frequently Asked Questions on LCM of 5748 and 5752

1. What is the LCM of 5748 and 5752?

Answer: LCM of 5748 and 5752 is 8265624.

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 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 5748 and 5752?

Answer:

Least Common Multiple of 5748 and 5752 = 8265624

Step 1: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

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 = 8265624 = 2 x 2 x 2 x 3 x 479 x 719

Step 4: Therefore, the least common multiple of 5748 and 5752 is 8265624.