Least Common Multiple of 5736 and 5740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5736 and 5740 the smallest integer that is 8231160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5736 and 5740 is 8231160.

LCM(5736,5740) = 8231160

LCM of 5736 and 5740

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

LCM of:
and

Least Common Multiple of 5736 and 5740

LCM of 5736 and 5740 is 8231160

Least common multiple can be found by multiplying the highest exponent prime factors of 5736 and 5740. First we will calculate the prime factors of 5736 and 5740.

Prime Factorization of 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2, 3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5736 and 5740.

LCM(5736,5740) = 23×31×51×71×411×2391
LCM(5736,5740) = 8231160

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

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

Least Common Multiple of 5736 and 5740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5736 and 5740, than apply into the LCM equation.

GCF(5736,5740) = 4
LCM(5736,5740) = ( 5736 × 5740) / 4
LCM(5736,5740) = 32924640 / 4
LCM(5736,5740) = 8231160

Properties of LCM 5736 and 5740

(i) The LCM of 5740 and 5736 is associative

LCM of 5736 and 5740 = LCM of 5740 and 5736

Related Least Common Multiples of 5736

Related Least Common Multiples of 5740

Frequently Asked Questions on LCM of 5736 and 5740

1. What is the LCM of 5736 and 5740?

Answer: LCM of 5736 and 5740 is 8231160.

2. What are the Factors of 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

3. 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.

4. How to Find the LCM of 5736 and 5740?

Answer:

Least Common Multiple of 5736 and 5740 = 8231160

Step 1: Find the prime factorization of 5736

5736 = 2 x 2 x 2 x 3 x 239

Step 2: Find the prime factorization of 5740

5740 = 2 x 2 x 5 x 7 x 41

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

LCM = 8231160 = 2 x 2 x 2 x 3 x 5 x 7 x 41 x 239

Step 4: Therefore, the least common multiple of 5736 and 5740 is 8231160.