Least Common Multiple of 5739 and 5744

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 5744 the smallest integer that is 32964816 that is divisible by both numbers.

Least Common Multiple (LCM) of 5739 and 5744 is 32964816.

LCM(5739,5744) = 32964816

LCM of 5739 and 5744

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

LCM of:
and

Least Common Multiple of 5739 and 5744

LCM of 5739 and 5744 is 32964816

Least common multiple can be found by multiplying the highest exponent prime factors of 5739 and 5744. First we will calculate the prime factors of 5739 and 5744.

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 5744


2 5744
2 2872
2 1436
2 718
359 359
1

Prime factors of 5744 are 2,359. Prime factorization of 5744 in exponential form is:

5744 = 24×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 5739 and 5744.

LCM(5739,5744) = 24×31×3591×19131
LCM(5739,5744) = 32964816

Factors of 5739

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

1, 3, 1913, 5739

Factors of 5744

List of positive integer factors of 5744 that divides 5744 without a remainder.

1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

Least Common Multiple of 5739 and 5744 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 5744, than apply into the LCM equation.

GCF(5739,5744) = 1
LCM(5739,5744) = ( 5739 × 5744) / 1
LCM(5739,5744) = 32964816 / 1
LCM(5739,5744) = 32964816

Properties of LCM 5739 and 5744

(i) The LCM of 5744 and 5739 is associative

LCM of 5739 and 5744 = LCM of 5744 and 5739

Related Least Common Multiples of 5739

Related Least Common Multiples of 5744

Frequently Asked Questions on LCM of 5739 and 5744

1. What is the LCM of 5739 and 5744?

Answer: LCM of 5739 and 5744 is 32964816.

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 5744?

Answer: Factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744. There are 10 integers that are factors of 5744. The greatest factor of 5744 is 5744.

4. How to Find the LCM of 5739 and 5744?

Answer:

Least Common Multiple of 5739 and 5744 = 32964816

Step 1: Find the prime factorization of 5739

5739 = 3 x 1913

Step 2: Find the prime factorization of 5744

5744 = 2 x 2 x 2 x 2 x 359

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

LCM = 32964816 = 2 x 2 x 2 x 2 x 3 x 359 x 1913

Step 4: Therefore, the least common multiple of 5739 and 5744 is 32964816.