Least Common Multiple of 5731 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 5731 and 5736 the smallest integer that is 32873016 that is divisible by both numbers.

Least Common Multiple (LCM) of 5731 and 5736 is 32873016.

LCM(5731,5736) = 32873016

LCM of 5731 and 5736

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

LCM of:
and

Least Common Multiple of 5731 and 5736

LCM of 5731 and 5736 is 32873016

Least common multiple can be found by multiplying the highest exponent prime factors of 5731 and 5736. First we will calculate the prime factors of 5731 and 5736.

Prime Factorization of 5731


11 5731
521 521
1

Prime factors of 5731 are 11,521. Prime factorization of 5731 in exponential form is:

5731 = 111×5211

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 5731 and 5736.

LCM(5731,5736) = 23×31×111×2391×5211
LCM(5731,5736) = 32873016

Factors of 5731

List of positive integer factors of 5731 that divides 5731 without a remainder.

1, 11, 521, 5731

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 5731 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 5731 and 5736, than apply into the LCM equation.

GCF(5731,5736) = 1
LCM(5731,5736) = ( 5731 × 5736) / 1
LCM(5731,5736) = 32873016 / 1
LCM(5731,5736) = 32873016

Properties of LCM 5731 and 5736

(i) The LCM of 5736 and 5731 is associative

LCM of 5731 and 5736 = LCM of 5736 and 5731

Related Least Common Multiples of 5731

Related Least Common Multiples of 5736

Frequently Asked Questions on LCM of 5731 and 5736

1. What is the LCM of 5731 and 5736?

Answer: LCM of 5731 and 5736 is 32873016.

2. What are the Factors of 5731?

Answer: Factors of 5731 are 1, 11, 521, 5731. There are 4 integers that are factors of 5731. The greatest factor of 5731 is 5731.

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 5731 and 5736?

Answer:

Least Common Multiple of 5731 and 5736 = 32873016

Step 1: Find the prime factorization of 5731

5731 = 11 x 521

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 = 32873016 = 2 x 2 x 2 x 3 x 11 x 239 x 521

Step 4: Therefore, the least common multiple of 5731 and 5736 is 32873016.