Least Common Multiple of 5729 and 5736

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 5736 the smallest integer that is 32861544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5729 and 5736 is 32861544.

LCM(5729,5736) = 32861544

LCM of 5729 and 5736

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

LCM of:
and

Least Common Multiple of 5729 and 5736

LCM of 5729 and 5736 is 32861544

Least common multiple can be found by multiplying the highest exponent prime factors of 5729 and 5736. First we will calculate the prime factors of 5729 and 5736.

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 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2, 3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 5729 and 5736.

LCM(5729,5736) = 23×31×171×2391×3371
LCM(5729,5736) = 32861544

Factors of 5729

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

1, 17, 337, 5729

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

Least Common Multiple of 5729 and 5736 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 5736, than apply into the LCM equation.

GCF(5729,5736) = 1
LCM(5729,5736) = ( 5729 × 5736) / 1
LCM(5729,5736) = 32861544 / 1
LCM(5729,5736) = 32861544

Properties of LCM 5729 and 5736

(i) The LCM of 5736 and 5729 is associative

LCM of 5729 and 5736 = LCM of 5736 and 5729

Related Least Common Multiples of 5729

Related Least Common Multiples of 5736

Frequently Asked Questions on LCM of 5729 and 5736

1. What is the LCM of 5729 and 5736?

Answer: LCM of 5729 and 5736 is 32861544.

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 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

4. How to Find the LCM of 5729 and 5736?

Answer:

Least Common Multiple of 5729 and 5736 = 32861544

Step 1: Find the prime factorization of 5729

5729 = 17 x 337

Step 2: Find the prime factorization of 5736

5736 = 2 x 2 x 2 x 3 x 239

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

LCM = 32861544 = 2 x 2 x 2 x 3 x 17 x 239 x 337

Step 4: Therefore, the least common multiple of 5729 and 5736 is 32861544.