Least Common Multiple of 5739 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 5739 and 5740 the smallest integer that is 32941860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5739 and 5740 is 32941860.

LCM(5739,5740) = 32941860

LCM of 5739 and 5740

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

LCM of:
and

Least Common Multiple of 5739 and 5740

LCM of 5739 and 5740 is 32941860

Least common multiple can be found by multiplying the highest exponent prime factors of 5739 and 5740. First we will calculate the prime factors of 5739 and 5740.

Prime Factorization of 5739


3 5739
1913 1913
1

Prime factors of 5739 are 3,1913. Prime factorization of 5739 in exponential form is:

5739 = 31×19131

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 5739 and 5740.

LCM(5739,5740) = 22×31×51×71×411×19131
LCM(5739,5740) = 32941860

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1, 3, 1913, 5739

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 5739 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 5739 and 5740, than apply into the LCM equation.

GCF(5739,5740) = 1
LCM(5739,5740) = ( 5739 × 5740) / 1
LCM(5739,5740) = 32941860 / 1
LCM(5739,5740) = 32941860

Properties of LCM 5739 and 5740

(i) The LCM of 5740 and 5739 is associative

LCM of 5739 and 5740 = LCM of 5740 and 5739

Related Least Common Multiples of 5739

Related Least Common Multiples of 5740

Frequently Asked Questions on LCM of 5739 and 5740

1. What is the LCM of 5739 and 5740?

Answer: LCM of 5739 and 5740 is 32941860.

2. What are the Factors of 5739?

Answer: Factors of 5739 are 1, 3, 1913, 5739. There are 4 integers that are factors of 5739. The greatest factor of 5739 is 5739.

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 5739 and 5740?

Answer:

Least Common Multiple of 5739 and 5740 = 32941860

Step 1: Find the prime factorization of 5739

5739 = 3 x 1913

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 = 32941860 = 2 x 2 x 3 x 5 x 7 x 41 x 1913

Step 4: Therefore, the least common multiple of 5739 and 5740 is 32941860.