Least Common Multiple of 5739 and 5745

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 5745 the smallest integer that is 10990185 that is divisible by both numbers.

Least Common Multiple (LCM) of 5739 and 5745 is 10990185.

LCM(5739,5745) = 10990185

LCM of 5739 and 5745

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

LCM of:
and

Least Common Multiple of 5739 and 5745

LCM of 5739 and 5745 is 10990185

Least common multiple can be found by multiplying the highest exponent prime factors of 5739 and 5745. First we will calculate the prime factors of 5739 and 5745.

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 5745


3 5745
5 1915
383 383
1

Prime factors of 5745 are 3, 5,383. Prime factorization of 5745 in exponential form is:

5745 = 31×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 5739 and 5745.

LCM(5739,5745) = 31×51×3831×19131
LCM(5739,5745) = 10990185

Factors of 5739

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

1, 3, 1913, 5739

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1, 3, 5, 15, 383, 1149, 1915, 5745

Least Common Multiple of 5739 and 5745 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 5745, than apply into the LCM equation.

GCF(5739,5745) = 3
LCM(5739,5745) = ( 5739 × 5745) / 3
LCM(5739,5745) = 32970555 / 3
LCM(5739,5745) = 10990185

Properties of LCM 5739 and 5745

(i) The LCM of 5745 and 5739 is associative

LCM of 5739 and 5745 = LCM of 5745 and 5739

Related Least Common Multiples of 5739

Related Least Common Multiples of 5745

Frequently Asked Questions on LCM of 5739 and 5745

1. What is the LCM of 5739 and 5745?

Answer: LCM of 5739 and 5745 is 10990185.

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 5745?

Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.

4. How to Find the LCM of 5739 and 5745?

Answer:

Least Common Multiple of 5739 and 5745 = 10990185

Step 1: Find the prime factorization of 5739

5739 = 3 x 1913

Step 2: Find the prime factorization of 5745

5745 = 3 x 5 x 383

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

LCM = 10990185 = 3 x 5 x 383 x 1913

Step 4: Therefore, the least common multiple of 5739 and 5745 is 10990185.