Least Common Multiple of 5740 and 5747

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 5747 the smallest integer that is 4712540 that is divisible by both numbers.

Least Common Multiple (LCM) of 5740 and 5747 is 4712540.

LCM(5740,5747) = 4712540

LCM of 5740 and 5747

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

LCM of:
and

Least Common Multiple of 5740 and 5747

LCM of 5740 and 5747 is 4712540

Least common multiple can be found by multiplying the highest exponent prime factors of 5740 and 5747. First we will calculate the prime factors of 5740 and 5747.

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 5747


7 5747
821 821
1

Prime factors of 5747 are 7,821. Prime factorization of 5747 in exponential form is:

5747 = 71×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 5740 and 5747.

LCM(5740,5747) = 22×51×71×411×8211
LCM(5740,5747) = 4712540

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 5747

List of positive integer factors of 5747 that divides 5747 without a remainder.

1, 7, 821, 5747

Least Common Multiple of 5740 and 5747 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 5747, than apply into the LCM equation.

GCF(5740,5747) = 7
LCM(5740,5747) = ( 5740 × 5747) / 7
LCM(5740,5747) = 32987780 / 7
LCM(5740,5747) = 4712540

Properties of LCM 5740 and 5747

(i) The LCM of 5747 and 5740 is associative

LCM of 5740 and 5747 = LCM of 5747 and 5740

Related Least Common Multiples of 5740

Related Least Common Multiples of 5747

Frequently Asked Questions on LCM of 5740 and 5747

1. What is the LCM of 5740 and 5747?

Answer: LCM of 5740 and 5747 is 4712540.

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 5747?

Answer: Factors of 5747 are 1, 7, 821, 5747. There are 4 integers that are factors of 5747. The greatest factor of 5747 is 5747.

4. How to Find the LCM of 5740 and 5747?

Answer:

Least Common Multiple of 5740 and 5747 = 4712540

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 5747

5747 = 7 x 821

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

LCM = 4712540 = 2 x 2 x 5 x 7 x 41 x 821

Step 4: Therefore, the least common multiple of 5740 and 5747 is 4712540.