Least Common Multiple of 5740 and 5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5740 and 5745 the smallest integer that is 6595260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5740 and 5745 is 6595260.

LCM(5740,5745) = 6595260

LCM of 5740 and 5745

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

LCM of:
and

Least Common Multiple of 5740 and 5745

LCM of 5740 and 5745 is 6595260

Least common multiple can be found by multiplying the highest exponent prime factors of 5740 and 5745. First we will calculate the prime factors of 5740 and 5745.

Prime Factorization of 5740


2 5740
2 2870
5 1435
7 287
41 41
1

Prime factors of 5740 are 2, 5, 7,41. Prime factorization of 5740 in exponential form is:

5740 = 22×51×71×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5740 and 5745.

LCM(5740,5745) = 22×31×51×71×411×3831
LCM(5740,5745) = 6595260

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740

Factors of 5745

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

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

Least Common Multiple of 5740 and 5745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5740 and 5745, than apply into the LCM equation.

GCF(5740,5745) = 5
LCM(5740,5745) = ( 5740 × 5745) / 5
LCM(5740,5745) = 32976300 / 5
LCM(5740,5745) = 6595260

Properties of LCM 5740 and 5745

(i) The LCM of 5745 and 5740 is associative

LCM of 5740 and 5745 = LCM of 5745 and 5740

Related Least Common Multiples of 5740

Related Least Common Multiples of 5745

Frequently Asked Questions on LCM of 5740 and 5745

1. What is the LCM of 5740 and 5745?

Answer: LCM of 5740 and 5745 is 6595260.

2. What are the Factors of 5740?

Answer: Factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740. There are 24 integers that are factors of 5740. The greatest factor of 5740 is 5740.

3. 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.

4. How to Find the LCM of 5740 and 5745?

Answer:

Least Common Multiple of 5740 and 5745 = 6595260

Step 1: Find the prime factorization of 5740

5740 = 2 x 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 5745

5745 = 3 x 5 x 383

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

LCM = 6595260 = 2 x 2 x 3 x 5 x 7 x 41 x 383

Step 4: Therefore, the least common multiple of 5740 and 5745 is 6595260.