Least Common Multiple of 5729 and 5737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5729 and 5737 the smallest integer that is 32867273 that is divisible by both numbers.

Least Common Multiple (LCM) of 5729 and 5737 is 32867273.

LCM(5729,5737) = 32867273

LCM of 5729 and 5737

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

LCM of:
and

Least Common Multiple of 5729 and 5737

LCM of 5729 and 5737 is 32867273

Least common multiple can be found by multiplying the highest exponent prime factors of 5729 and 5737. First we will calculate the prime factors of 5729 and 5737.

Prime Factorization of 5729


17 5729
337 337
1

Prime factors of 5729 are 17,337. Prime factorization of 5729 in exponential form is:

5729 = 171×3371

Prime Factorization of 5737


5737 5737
1

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

5737 = 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 5729 and 5737.

LCM(5729,5737) = 171×3371×57371
LCM(5729,5737) = 32867273

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1, 17, 337, 5729

Factors of 5737

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

1, 5737

Least Common Multiple of 5729 and 5737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5729 and 5737, than apply into the LCM equation.

GCF(5729,5737) = 1
LCM(5729,5737) = ( 5729 × 5737) / 1
LCM(5729,5737) = 32867273 / 1
LCM(5729,5737) = 32867273

Properties of LCM 5729 and 5737

(i) The LCM of 5737 and 5729 is associative

LCM of 5729 and 5737 = LCM of 5737 and 5729

Related Least Common Multiples of 5729

Related Least Common Multiples of 5737

Frequently Asked Questions on LCM of 5729 and 5737

1. What is the LCM of 5729 and 5737?

Answer: LCM of 5729 and 5737 is 32867273.

2. What are the Factors of 5729?

Answer: Factors of 5729 are 1, 17, 337, 5729. There are 4 integers that are factors of 5729. The greatest factor of 5729 is 5729.

3. 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.

4. How to Find the LCM of 5729 and 5737?

Answer:

Least Common Multiple of 5729 and 5737 = 32867273

Step 1: Find the prime factorization of 5729

5729 = 17 x 337

Step 2: Find the prime factorization of 5737

5737 = 5737

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

LCM = 32867273 = 17 x 337 x 5737

Step 4: Therefore, the least common multiple of 5729 and 5737 is 32867273.