Least Common Multiple of 5737 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 5737 and 5745 the smallest integer that is 32959065 that is divisible by both numbers.

Least Common Multiple (LCM) of 5737 and 5745 is 32959065.

LCM(5737,5745) = 32959065

LCM of 5737 and 5745

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

LCM of:
and

Least Common Multiple of 5737 and 5745

LCM of 5737 and 5745 is 32959065

Least common multiple can be found by multiplying the highest exponent prime factors of 5737 and 5745. First we will calculate the prime factors of 5737 and 5745.

Prime Factorization of 5737


5737 5737
1

Prime factors of 5737 are 5737. Prime factorization of 5737 in exponential form is:

5737 = 57371

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 5737 and 5745.

LCM(5737,5745) = 31×51×3831×57371
LCM(5737,5745) = 32959065

Factors of 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1, 5737

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 5737 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 5737 and 5745, than apply into the LCM equation.

GCF(5737,5745) = 1
LCM(5737,5745) = ( 5737 × 5745) / 1
LCM(5737,5745) = 32959065 / 1
LCM(5737,5745) = 32959065

Properties of LCM 5737 and 5745

(i) The LCM of 5745 and 5737 is associative

LCM of 5737 and 5745 = LCM of 5745 and 5737

Related Least Common Multiples of 5737

Related Least Common Multiples of 5745

Frequently Asked Questions on LCM of 5737 and 5745

1. What is the LCM of 5737 and 5745?

Answer: LCM of 5737 and 5745 is 32959065.

2. What are the Factors of 5737?

Answer: Factors of 5737 are 1, 5737. There are 2 integers that are factors of 5737. The greatest factor of 5737 is 5737.

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 5737 and 5745?

Answer:

Least Common Multiple of 5737 and 5745 = 32959065

Step 1: Find the prime factorization of 5737

5737 = 5737

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 = 32959065 = 3 x 5 x 383 x 5737

Step 4: Therefore, the least common multiple of 5737 and 5745 is 32959065.