Least Common Multiple of 5745 and 5750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5745 and 5750 the smallest integer that is 6606750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5745 and 5750 is 6606750.

LCM(5745,5750) = 6606750

LCM of 5745 and 5750

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

LCM of:
and

Least Common Multiple of 5745 and 5750

LCM of 5745 and 5750 is 6606750

Least common multiple can be found by multiplying the highest exponent prime factors of 5745 and 5750. First we will calculate the prime factors of 5745 and 5750.

Prime Factorization of 5745


3 5745
5 1915
383 383
1

Prime factors of 5745 are 3, 5,383. Prime factorization of 5745 in exponential form is:

5745 = 31×51×3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5745 and 5750.

LCM(5745,5750) = 21×31×53×231×3831
LCM(5745,5750) = 6606750

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1, 3, 5, 15, 383, 1149, 1915, 5745

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

Least Common Multiple of 5745 and 5750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5745 and 5750, than apply into the LCM equation.

GCF(5745,5750) = 5
LCM(5745,5750) = ( 5745 × 5750) / 5
LCM(5745,5750) = 33033750 / 5
LCM(5745,5750) = 6606750

Properties of LCM 5745 and 5750

(i) The LCM of 5750 and 5745 is associative

LCM of 5745 and 5750 = LCM of 5750 and 5745

Related Least Common Multiples of 5745

Related Least Common Multiples of 5750

Frequently Asked Questions on LCM of 5745 and 5750

1. What is the LCM of 5745 and 5750?

Answer: LCM of 5745 and 5750 is 6606750.

2. What are the Factors of 5745?

Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.

3. 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.

4. How to Find the LCM of 5745 and 5750?

Answer:

Least Common Multiple of 5745 and 5750 = 6606750

Step 1: Find the prime factorization of 5745

5745 = 3 x 5 x 383

Step 2: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

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

LCM = 6606750 = 2 x 3 x 5 x 5 x 5 x 23 x 383

Step 4: Therefore, the least common multiple of 5745 and 5750 is 6606750.