Least Common Multiple of 5735 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 5735 and 5740 the smallest integer that is 6583780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5735 and 5740 is 6583780.

LCM(5735,5740) = 6583780

LCM of 5735 and 5740

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

LCM of:
and

Least Common Multiple of 5735 and 5740

LCM of 5735 and 5740 is 6583780

Least common multiple can be found by multiplying the highest exponent prime factors of 5735 and 5740. First we will calculate the prime factors of 5735 and 5740.

Prime Factorization of 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

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 5735 and 5740.

LCM(5735,5740) = 22×51×71×311×371×411
LCM(5735,5740) = 6583780

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1, 5, 31, 37, 155, 185, 1147, 5735

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 5735 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 5735 and 5740, than apply into the LCM equation.

GCF(5735,5740) = 5
LCM(5735,5740) = ( 5735 × 5740) / 5
LCM(5735,5740) = 32918900 / 5
LCM(5735,5740) = 6583780

Properties of LCM 5735 and 5740

(i) The LCM of 5740 and 5735 is associative

LCM of 5735 and 5740 = LCM of 5740 and 5735

Related Least Common Multiples of 5735

Related Least Common Multiples of 5740

Frequently Asked Questions on LCM of 5735 and 5740

1. What is the LCM of 5735 and 5740?

Answer: LCM of 5735 and 5740 is 6583780.

2. What are the Factors of 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

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 5735 and 5740?

Answer:

Least Common Multiple of 5735 and 5740 = 6583780

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

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 = 6583780 = 2 x 2 x 5 x 7 x 31 x 37 x 41

Step 4: Therefore, the least common multiple of 5735 and 5740 is 6583780.