Least Common Multiple of 5733 and 5739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5733 and 5739 the smallest integer that is 10967229 that is divisible by both numbers.

Least Common Multiple (LCM) of 5733 and 5739 is 10967229.

LCM(5733,5739) = 10967229

LCM of 5733 and 5739

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

LCM of:
and

Least Common Multiple of 5733 and 5739

LCM of 5733 and 5739 is 10967229

Least common multiple can be found by multiplying the highest exponent prime factors of 5733 and 5739. First we will calculate the prime factors of 5733 and 5739.

Prime Factorization of 5733


3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 5733 are 3, 7,13. Prime factorization of 5733 in exponential form is:

5733 = 32×72×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5733 and 5739.

LCM(5733,5739) = 32×72×131×19131
LCM(5733,5739) = 10967229

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733

Factors of 5739

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

1, 3, 1913, 5739

Least Common Multiple of 5733 and 5739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5733 and 5739, than apply into the LCM equation.

GCF(5733,5739) = 3
LCM(5733,5739) = ( 5733 × 5739) / 3
LCM(5733,5739) = 32901687 / 3
LCM(5733,5739) = 10967229

Properties of LCM 5733 and 5739

(i) The LCM of 5739 and 5733 is associative

LCM of 5733 and 5739 = LCM of 5739 and 5733

Related Least Common Multiples of 5733

Related Least Common Multiples of 5739

Frequently Asked Questions on LCM of 5733 and 5739

1. What is the LCM of 5733 and 5739?

Answer: LCM of 5733 and 5739 is 10967229.

2. What are the Factors of 5733?

Answer: Factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. There are 18 integers that are factors of 5733. The greatest factor of 5733 is 5733.

3. 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.

4. How to Find the LCM of 5733 and 5739?

Answer:

Least Common Multiple of 5733 and 5739 = 10967229

Step 1: Find the prime factorization of 5733

5733 = 3 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 5739

5739 = 3 x 1913

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

LCM = 10967229 = 3 x 3 x 7 x 7 x 13 x 1913

Step 4: Therefore, the least common multiple of 5733 and 5739 is 10967229.