Least Common Multiple of 5750 and 5758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5750 and 5758 the smallest integer that is 16554250 that is divisible by both numbers.

Least Common Multiple (LCM) of 5750 and 5758 is 16554250.

LCM(5750,5758) = 16554250

LCM of 5750 and 5758

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

LCM of:
and

Least Common Multiple of 5750 and 5758

LCM of 5750 and 5758 is 16554250

Least common multiple can be found by multiplying the highest exponent prime factors of 5750 and 5758. First we will calculate the prime factors of 5750 and 5758.

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

Prime Factorization of 5758


2 5758
2879 2879
1

Prime factors of 5758 are 2,2879. Prime factorization of 5758 in exponential form is:

5758 = 21×28791

Now multiplying the highest exponent prime factors to calculate the LCM of 5750 and 5758.

LCM(5750,5758) = 21×53×231×28791
LCM(5750,5758) = 16554250

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

Factors of 5758

List of positive integer factors of 5758 that divides 5758 without a remainder.

1, 2, 2879, 5758

Least Common Multiple of 5750 and 5758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5750 and 5758, than apply into the LCM equation.

GCF(5750,5758) = 2
LCM(5750,5758) = ( 5750 × 5758) / 2
LCM(5750,5758) = 33108500 / 2
LCM(5750,5758) = 16554250

Properties of LCM 5750 and 5758

(i) The LCM of 5758 and 5750 is associative

LCM of 5750 and 5758 = LCM of 5758 and 5750

Related Least Common Multiples of 5750

Related Least Common Multiples of 5758

Frequently Asked Questions on LCM of 5750 and 5758

1. What is the LCM of 5750 and 5758?

Answer: LCM of 5750 and 5758 is 16554250.

2. 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.

3. What are the Factors of 5758?

Answer: Factors of 5758 are 1, 2, 2879, 5758. There are 4 integers that are factors of 5758. The greatest factor of 5758 is 5758.

4. How to Find the LCM of 5750 and 5758?

Answer:

Least Common Multiple of 5750 and 5758 = 16554250

Step 1: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

Step 2: Find the prime factorization of 5758

5758 = 2 x 2879

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

LCM = 16554250 = 2 x 5 x 5 x 5 x 23 x 2879

Step 4: Therefore, the least common multiple of 5750 and 5758 is 16554250.